This calculator will solve your problems. Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra. Simplify to a single power of 4 calculator. from a basic application of De Moivre's theorem. We will then explore multiple properties such as power to product, power to quotient and negative exponents.SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/joinHave questions? Math is a way of determining the relationships between numbers, shapes, and other mathematical objects. By taking the time to explain the problem and break it down into smaller pieces, anyone can learn to solve math problems. . Learn how to apply the rules of exponents to simplify an expression. do that step-by-step. Ob) 8 Direct link to DJ Daba's post Here's an insight that I , Posted 2 years ago. Shown below is an example of an argument for a 0 =1 using one of the previously mentioned exponent laws. View the full answer. Direct link to pavle.predic's post Maybe I wasn't following , Posted 3 years ago. The Pythagorean identities are based on the properties of a right triangle. Algebra-equation.com brings essential advice on simplify fraction exponents calculator, multiplication and adding and other math subject areas. With Decide math, you can take the guesswork out of math and get the answers you need quickly and easily. Direct link to Ash_001's post In a fraction power, the . order now. equal to 1/3, and we're done. This is simple enough: anything to the zero power is just 1. = 64 2 = 8. Use the power rule together with the chain rule. The second is when the base is a fraction, and we're raising that fractional base to an exponent. If you work on a task that is interesting to you, it will help you stay motivated and engaged. Im 15 years old and I use this app so that I could learn new things in math. Simplify to a single power of 4: \frac {4^ {8} } {4^ {5} } 1. Math can be a difficult subject for many people, but it doesn't have to be! negative 1/3 power is 1/2. 9. raise 10 to the 8th power, then subtract v from the result, Q:Without calculating, determine whether each answer is positive or negative. j1=jj2=-1j3=-jj4=1, Q:350.6s Simplify the determinants of the following matrices by creating zeros in a single row or column, then evaluate the determinant by expanding in terms of that row or column. A right triangle is a triangle with one of its angles, Q:Find ST. And so, this is just one over two, 2/3 times 1/2, well, that's just going to be The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle. figure out the derivative with respect to x of the cube root of x squared. And if that wasn't enough, it explains the steps if you also want that! cot( ) = cot. is a shorthand way of writing repeated multiplication using the same number. And we saw above that the answer is 5 8. Exponents. It is used to solve problems and to understand the world around us. But let's suppose that I've forgotten the rules again. 492x+1 Watch ads now so you can enjoy fewer interruptions. Simplify to a single power of 4. 98.00- How many extra 6's do I have, and where are they? Simplify the expression. A: the given expression is1+x1+x21-x+x2. Direct link to Jerry Nilsson's post Let () be a function , Posted 4 years ago. You're usually not supposed to leave negative exponents in answers. The exponent of a number says how many times to use the number in a multiplication. 12, Q:Convert the decimal 0.125 to a fraction and reduce it to the lowest term, Q:Convert the decimal 0.12 to a fraction and reduce it to the lowest term, Q:2. O c) Amanda was given the following polynomial and asked to factor completely. Express the following fraction in simplest form using only positive exponents. cos2 + sin2 = 1. 1=76.00 Submit Answer. algebra numbers. 47 x43 you can figure it out again. For the variables, I have two extra copies of x on top, so the answer is: Either of the purple highlighted answers should be acceptable: the only difference is in the formatting; they mean the same thing. How to Use a Monomial Calculator? Since the trigonometric function is raised to the third power, there will be one quantity of square power. a) 2434 b) 3676 c) (52 )3(43 )3 d) a3b3 e) 21 (41 )4 f) (xaya) g) (30 Best of all, Simplify to a single power of 4 is free to use, so there's no sense not to give it a try! What is that going to be equal to? For example. Ob 2 EC=107.00 Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. + | Chegg.com. product of the exponents. simplify rational or radical expressions with our free step-by-step math calculator. . Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Free simplify calculator - simplify algebraic expressions step-by-step. Simplify any powers using laws of indices. Q: Multiply the numerator and denominator of the fraction by the conjugate of the denomi-nator, and. Algebra. Could Sal please simplify the equation at minute 2.25. Simplify a numerical expression. Taken together, the product rule, quotient rule, and power rule are often called "properties of logs.". This question is a bit different, because the larger exponent is on the term in the denominator. For many applications, defining 0 0 as 1 is convenient.. a 0 = 1 . As we know that: algebra math video tutorial focuses on simplifying exponents with rules such as the product rule, power rule, and quotient rule. And the key thing to appreciate It is to be noted that the power of the denominator is to be deducted from that power of the numerator, i.e., a m a n = a m-n. 4 Get detailed solutions to your math problems with our Powers of powers step-by-step calculator. If you want to improve your math performance, here's one simple tip: practice, practice, practice. This app is really usfull when your stuck on something that has to do with math. The new Intune Suite can simplify our customers' endpoint management experience, improve their security posture, and keep people at the center with exceptional user experiences. It is often simpler to work directly from the meaning of exponents. \small { \dfrac {a^n} {a^m} = a^ {n-m} } aman =anm. 125a +3/80a, Q:Divide and simplify:5+i 3i. Pause this video again and see Check out all of our online calculators here! Possibly one of the most useful apps out there. So we have, finally. Simplify to a single power of 4: Get the answers you need, now! Report your answer as a simplified fraction. Derive a Java program that Solve a quadratic equation of the type . For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 3 4, where 4 is the exponent and 3 is the base. The whole expression 3 4 is said to be power. x to the negative one. This video explains how to simplify exponential expressions using the power rule of exponents. Yes, you're right. So the correct formula is d/dx 1/x^a = -a/x^(a+1). You can also calculate numbers to the power of. The calculator works for both numbers and expressions containing variables. Ask the user to enter the values of a, b and c and then print out the values of x). Solved Simplify the expression to a single power of x. What is the following number in standard form? Oe 3, A:Given that1370+1770 is divided by 229. Step 2: I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Example. root as x to the 1/3 power. - [Instructor] What we're . Pause this video and try to figure it out. Rearrange the expression and multiply one square power to a single power. arccos In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. BOC=36.00AB=98.00. PowersComplex Examples. A It is a dimensionless number often expressed using the symbol %. is this is the same thing, and we're just gonna a. Expert teachers will give you an answer in real-time. The * is also optional when multiplying with parentheses 243 Teachers 4.5/5 Ratings 32666+ Customers Get Homework Help Submit Answer. Math is all about solving equations and finding the right answer. 30 Simplify as a single power. You Ask? Eight to the 1/3 power is Algebra questions and answers. For example, 53 could be referred to as five to the third power. Simplify the expression to a single power of x. 2. Q: Simplify (1+x) (1+x) (1 - x + x) in descending order. In this case, the base is 52 and the exponent is 4, so you multiply 52 four times = 1099 x 10-70 x, Q:Perform the indicated 2 n + 1 2 n = 2 ( n + 1) n using exponent law x a b = x a x b = 2 1 = 2 1 because 2 1 = 2 = 2 1. I have a step-by-step course for that. I have three extra 6's, and they're on top. LHS=2cosusinu-sin, Q:Fill in each blank so that the resulting statement is true. going to do in this video is get some practice taking Numbers are some measures used for counting. You can also calculate numbers to the power of large exponents less than 2000, negative exponents, and real numbers or decimals for exponents. 1,000,000 (one million) 100 . Whether or not you've been taught about negative exponents, when they say "simplify", they mean "simplify the expression so it doesn't have any negative or zero powers". To solve a math equation, you need to decide what operation to perform on each side of the equation. Simplify trigonometric expressions Calculator online with solution and steps. You can improve your educational performance by studying regularly and practicing good study habits. 1. The answers will start feeling fairly obvious to you. Give answer as (I've slipped in one or two that can't be simplified, just to keep you on your toes.) Example 5: Simplify the . And hopefully through these examples, you're seeing that the power We rationalize the denominator of 5 /, Q:Add or subtract. This is an online calculator for exponents. You can provide multiple ways to do something by listing them out, providing a step-by-step guide, or giving a few options to choose from. Q:2. And I have the same number of c's top and bottom, so they'll cancel off entirely. simplified values of x and 1/2 1/5 (A) a.) When an exponent is 0, the result of the exponentiation of any base will always be 1, although some debate surrounds 0 0 being 1 or undefined. Used with the function expand, the function simplify can expand and collapse a literal expression. To solve a math problem, you need to first understand what the problem is asking. appreciate that one over x is the same thing as Transcribed image text: Simplify the expression to a single power of x. x/2)1/5 1/4 X a.) Then: Unless the instructions also tell you to "evaluate", you're probably expected to leave numerical exponent problems like this in exponent form. For instructional purposes the solution is expanded when the base x and exponent n . If you need your order fast, we can deliver it to you in record time. Let's say that we're told that f of x is equal to the cube root of x and we wanna figure out what It might help to think of x^-1 = 1/x. 84 x 86 Whem I multiply these two expressions together, I will get eleven copies of a multiplied together. Learn how to apply the rules of exponents to simplify an expression. Let us simplify the following exponents: i) 2 4 3 4, ii) 4 3 2 3. i) 2 4 3 4 = (23) 4 = 6 4. ii) 4 3 2 3 = (42) 3 = 2 3 = 8. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The correct spelling for the term that means pertaining to the tail is, What is the equation of the line in slope intercept form. So exponential, logarithmic, trig functions, those are all NOT power functions. I think it might depend on which playlist you are watching this on (I think playlist is the right word for it.) O, A:LHS =2cotu-tanucotu+tanu+1 I mustn't forget that the "5" and the "3" are just numbers. Practice your math skills and learn step by step with our math solver. Q:Evaluate the following expression. We Answer! Q:of the arthmetic seque derivative of something like this, "especially if my goal or happens at x equals eight, so let's just evaluate that. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. (b^12)^3 Get more lessons like this at this lesson you will learn how to simplify expressions that involve exponents. Instead of saying the First week only $4.99! ITS FREE. Find the numerical value of 27 4/3 without using a calculator. Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community Organized Videos:Simplify Using the Rules of Exponentshttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoUS4GWvbQK4n5-TuMrg6SgSimplify Using the Rules of Exponents | Power Rulehttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoxNUtKN6OILq328zZA_EcISimplify Using the Rules of Exponents | Product Rulehttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMochpOGQ0NDWQwRimsETenJSimplify Using the Rules of Exponents | Quotient Rulehttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpnrB8MvroLCygdyy6Gz9zySimplify Using the Rules of Exponents | Learn Abouthttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoqKRtXInzWnaeUlY66W35VSimplify Using the Rules of Exponents | Power Rule with Negative Powershttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqSZoUVGAjrOizGQD3H2y-_Simplify Using the Rules of Exponents | Quotient Rulehttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMovmUj4Cu4iy0-MLgfxV39DSimplify Using the Rules of Exponents | Product Rulehttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpxTX6wLZMA1JzoQ_2MRBdqSimplify Using the Rules of Exponents | Multiply Rational Expressionshttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMph-t-q2Q5XttuIIK6enbWySimplify Using the Rules of Exponents | Divide Rational Expressionshttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrskXf-houEXaXWGc9uM5ugSimplify Using the Rules of Exponents | Add Subtract Rational Expressionshttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqZqIUbNVFFReqQ5Th-z6rn Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists My Website - http://www.freemathvideos.comSurvive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57Connect with me:Facebook - https://www.facebook.com/freemathvideosInstagram - https://www.instagram.com/brianmclogan/Twitter - https://twitter.com/mrbrianmcloganLinkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/ Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/ About Me: I make short, to-the-point online math tutorials. This app is a full 5 stars, for a free app, this is an excellent app. Mathematics is the study of numbers, shapes, and patterns. Love it! Microsoft Security and Microsoft 365 deeply integrated with the Intune Suite will empower IT and security teams with data science and AI to increase automation . How many extra of each do I have, and where are they? Write your answer as a power. reasoning, you'll find yourself not needing to write things out and cancel off the duplicate factors. ( an) m = anm. Maybe I wasn't following closely, but it seems to me that this is the first time this notation is introduced, without explaining it: d/dx. Use this calculator to find the fractional exponent of a number x. So, this is going to (100)'' [10-7 (0.1)*] ". O2V3 B To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Practice your math skills and learn step by step with our math, This is an online calculator for exponents. Completing a task step-by-step can help ensure that it is done correctly and efficiently. 17 Can the power rule be used to find the derivative when there is a sum under the radical? Fnd the hth term. If you're looking to improve your educational performance, start by ensuring that you're getting enough sleep each night. O 486, Q:Go step by step to reduce the radical. [ Answers] If you're struggling to clear up math problems, try these tips. The only functions that are power functions are a variable brought to some number power. New! At 24/7 Customer Support, we are always here to help you with whatever you need. Doing things on paper is an ago old method, getting solved on calculator is decades old method, solving on mobiles/computers is years old method as it also involes human to type down on device. 4 -2 4 3 4 100 = 4 -2+3+100 = 4 101. O a) 1 . Simplifies expressions step-by-step and shows the work! A:While adding two complex numbers having real and imaginary parts, add the real part of one complex, Q:'A number raised to the ninth power," Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. 65 This calculator will solve your problems. AB = 51 and AC = 120 simplify rational or radical expressions with our free step-by-step math calculator. Let's do another example. Enter an equation in the box, then . sin 3 (3x) = [sin (3x)] [(1 - cos (3x))/2] Simplify to its . Get the Most useful Homework solution . I suck at math btw, all made easier to understand with this app, math app is so useful, this is app is absolutely amazing! Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra. 0:00 / 3:03Watch full video. 12 C. 41 We provide quick and easy solutions to all your homework problems. Q:Simplify to a single power of 4: This lesson will cover how to find the power of a fraction as well as introduce how to w arrow_forward How to Calculate the Quantity of AAC Blocks in Wall?-easy method#AACBlock #BrickCalculation #CivilEngineering. sin 3 (3x) = [sin (3x)] [sin 2 (3x)] Substitute the power-reduction formula to the obtained equation. So x^(-2/3) is 1/[3rd root(x^2)], Creative Commons Attribution/Non-Commercial/Share-Alike. Get Solution. In a fraction power, the numerator is the "square" and the denominator is the "root" so if you have x^2/3, it's the same as the "3rd root (x^2)" and x^1/3 is just "3rd root (x^1) or 3rd root (x)." A negative power just makes the root a fraction. When an exponent is 1, the base remains the same. I recommend it to all my friends, this app also has animated directions on how to solve . Simplify the following and express as a single power. For example, 53 could be referred to as five to the third power. Calculator Use. But I when I started algebra, I had trouble keeping the rules straight, so I just thought about what exponents mean. Would I need to use the difference quotient and find the limit as h approaches 0 instead? if you can figure that out. Simplify Simplify Simplify Simplify Simplify . Q:What is the last digit of the number you get when you raise 7to the 151st power? If the different bases possess the same power the bases will possess the power separately. Some more examples: The calculator allows with this computer algebra function of reducing an algebraic expression. And actually, let's just not figure out Track Improvement: The process of making a track more suitable for running, usually by flattening or grading the surface. derivatives with the power rule. . Quick-Start Guide. How to calculate the aerocrete for building manually knowing the area of the walls (108 m2) and their thickness (0.3 m), you will find a volume of 108 m2 x 0.3, Discriminant of a quadratic equation graph, Equation of a plane given a point and a line calculator, Finding removable discontinuity calculator, How to find missing side of triangle with one side, How to find the possible degree of a graph, How to integrate e to the power of something, Proportion word problems worksheet answer key, Solving exponential growth and decay equations. Solved exercises of Simplify trigonometric expressions. squared to the 1/3 power, which is the same thing as the derivative with respect to x of, well, x squared, if I raise First week only $4.99! V18 bring the 2/3 out front, 2/3 times x to the, what's 2/3 minus one? 81 kaydenkayden kaydenkayden 02/10/2022 Mathematics High School answered expert verified . Since,cotu=cosusinu,tanu=sinucosu Solution 2 a 1-3 b 2a 1+2 b 2 = 2a-3b21a+2b2. :) Learn More An example with the power rule. A Use the power rule for exponents to simplify the expression. Direct link to yG.KeKe0's post Why wasn't -x^-2 rewritte, Posted 4 years ago. When we use rational exponents, we can apply the properties of exponents to simplify expressions. then find the 20th term. Any number of, Q:Simplify arctan 4+ arctan 7. a n . Question: Simplify the expression to a form in which 2 is raised to a single integer power. The best homework key is to be organized and to have a plan. For. Simplify Calculator. whose diameter is H790.7cm,travels a814m. And the idea is to rewrite Direct link to gingerseal8's post At 4:00, Sal expresses 8^, Posted 4 years ago. Well, that's 2/3 minus 3/3 or it would be negative 1/3 power. So let's say we take the derivative with respect to x of one over x. 8^4 \cdot 8^5. broader range of derivatives than you might have initially thought. I don't know exactly, why are you not supposed to leave negative exponents in answers? Direct link to northernexposurelanai's post Could Sal please simplify, Posted 2 years ago. . This is an online calculator for exponents. simplify rational or radical expressions with our free step-by-step math calculator. However, with a little practice, it can be easy to learn and even enjoyable. x /20 c.) X245 d.) X2/9 javascript:void (0) Simplify the . 834, Q:Find the cosine of ZB. Loyalty is one of the most important qualities in a person. We have three basic rules for combining exponents: However, when simplifying expressions containing exponents, don't feel like you must work only with, or straight from, these rules. Calculate the power of large base integers and real numbers. Find more here: https://www.freemathvideos.com/about-me/#Simplfiyexpressions #rulesofexponents #brianmclogan Let's simplify (5 2) 4. Since 3 doesn't go evenly into 5, I can't cancel the numbers. I mean its not just cheating, you also get those cool problem solving steps, it is the best app in te world and it will help you with every math problem without making any mistakes . Calculator Use. Keep reading to learn more about Simplify to a single power of 4 and how to use it. derivative at x equals eight. Tunes Tuesday. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright . Math can be confusing, but there are ways to make it easier. Simplify your answer and write it as a proper fraction, improper, A:From the given problem: Let's say we wanna If you're seeing this message, it means we're having trouble loading external resources on our website. Recall at the beginning of the section that we found the number 1.3 10 13 1.3 10 13 when describing bits of information in digital images. 1 + tan2 = sec2. amn=amn, Q:Find AB. *Response times may vary by subject and question complexity. Let's do another example, and I'll make this one the n with respect to x, so if we're taking the derivative of that, that that's going to be equal to, we take the exponent, bring it out front, and we've proven it in other videos, but this is gonna be n times x to the, and then we decrement the exponent. rule is incredibly powerful. Direct link to David Liu's post When you said: "d/dx 1/x^, Posted 2 years ago. The symplify calculator also applies to numeric expressions, it allows to do exact calculation with numbers : For example, the, This is an online calculator for exponents. Write x 5 as a single power. Direct link to Michelle Acuna's post Can the power rule be use, Posted 4 years ago. To simplify a power of a power, you multiply the exponents, keeping the base the same. So, n minus one. = 1099 x 10-70 x (10-1)40 How do you evaluate x ^ (-2/3). We. With fractional exponents you are solving for the d th root of the number x raised to the power n. For example, the following are the same: 4 3 2 = 4 3 2. and since 4 cubed equals 64 we get. And now, this is just point (-3,0) If you're not sure, though, feel free to add "= 216", just to be on the safe side. this as an exponent, if you can rewrite the cube Multiplying the numerator and denominator of the complex fraction by ab2, we get. It is used to solve problems in a variety of fields, including science, engineering, and finance. The nth powers of 2,a,3^2, and b^3 are, respectively, 2 2^n,a^n,3^(2n), and b^(3n). try, Q:In 817.3 Sec a point on the edge ofa wheel, For example, rather than writing 4 x 4 x 4 it can be simplified to 4. what the derivative is, let's figure out the Simplify to a single power of 4 calculator The exponent key for the Tl-30x II S, the recommended calculator for the course, is ^. 3) /5a + 2/ You can specify conditions of storing and accessing cookies in your browser, if you have anymore questions , feel free to inform me, Simplify to a single power of 4: \frac{4^{8} }{4^{5} }, Find an equation of the line with gradient -3 and that passes through the 68 Let's assume we are now not limited to . It is the fourth power of 5 to the second power. In this case, the base is 5 2 and the exponent is 4, so you multiply 5 2 four times: (5 2) 4 = 5 2 5 2 5 2 5 2 = 5 8 (using the Product Rule - add the exponents). Find : BC = ? They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other. order now Solution For 4. VIO Take the course Want to learn more about Pre-Algebra? And I mustn't try to subtract the numbers, because the 5 and the 3 in the fraction katex.render("\\frac{5}{3}", typed03);5/3 are not at all the same as the 5 and the 3 in rational expression katex.render("\\frac{x^5}{x^3}", typed04);x5/x3. The "68" means I have eight copies of 6 on top; the "65" means I have five copies of 6 underneath. Actually, let me just ST =. going to be equal to, I'll do it right over here, answer when possible. Amazing app for checking your math home work, if you are stuck. Hey, so I was just toying around(at 3 A.M. like all of us do) and I found an interesting pattern, somewhat of a general formula for a tangent to a curve. 16. Exactly n of those cancel, leaving a single 2 on top, and nothing but 1 on the bottom. How about when a coefficient is in the function? Once you have determined what the problem is, you can begin to work on finding the solution. Here is an example: 2x^2+x(4x+3) Simplifying Expressions Video Lesson. But the basic reasoning is the same. Simplify and Write as Single Power Laws of Exponents. am = an+m. Let's simplify (52)4. One way is to clear up the equations. Find the exact, V80 Then use a calculator to, A:Given difference is: We guarantee that our work is 100% original. . Direct link to loumast17's post I think it might depend o, Posted 3 years ago. b) ZEOD cube root of x squared, we can say this is x This is read as 'four to the power of . Looking for a quick and easy way to get help with your homework? Well, once again, you might say, "Hey, how do I take the The first term in the expression is the square root of 4 cubed. See answer. Typing Exponents. 107.00 Expanding Logarithms. 1 + cot2 = csc2. If you didn't know it and you had to show your work, it would be difficult, but luckily I am virtual. Well, what's eight to the 1/3 power?