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: 19

Answer

$c^\frac{1}{3}$

Work Step by Step

$(c^3)^\frac{1}{9}$ $\times$ $(d^3)^0$ You have to multiply exponents when raising a power to a power. So we get: $c^{(3\times\frac{1}{9})}$$\times$ $d^{(3\times0)}$ =$c^\frac{3}{9}$$\times$ $d^0$ =$c^\frac{1}{3}$ $\times 1$ = $c^\frac{1}{3}$
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