Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 26



Work Step by Step

You have (2$x^{1/6}$$)^{3}$$x^{2}$.Simplify the expression: (2$x^{1/6}$$)^{3}$$x^{2}$ -Use the exponent rule (xy$)^{a}$=$x^{a}$$y^{a}$- $2^{3}$($x^{1/6}$$)^{3}$$x^{2}$ -Apply the rule ($x^{a}$$)^{b}$=$x^{a \times b}$- 8$\times$ $x^{1/2}$$\times$ $x^{2}$ -apply the rule $x^{a}$$x^{b}$=$x^{a+b}$- 8$x^{2+1/2}$ -simplify- The simplified expression is 8$x^{5/2}$
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