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 - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 45



Work Step by Step

You have ($\frac{3x^1{^/}{^2}}{15}$$)^{2}$. Simplify the expression: ($\frac{x^1{^/}{^2}}{5}$$)^{2}$ -simplify the coefficients- $\frac{(x^1{^/}{^2})^2}{5^2}$ -apply exponent rule ($\frac{a}{b}$$)^{c}$=$\frac{a^c}{b^c}$- ($x^{1/2}$$)^{2}$=x and $5^{2}$=25 =$\frac{x}{25}$
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