Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Properties of Exponents: 8

Answer

$\dfrac{8x^{12}}{27}$

Work Step by Step

RECALL: (i) $(ab)^m = a^mb^m$ (ii) $\left(\dfrac{a}{b}\right)^m=\dfrac{a^m}{b^m}$ (iii) $(a^m)^n=a^{mn}$ Use the rules above to have: $=\dfrac{2^3(x^4)^3}{3^3} \\=\dfrac{8x^{4(3)}}{27} \\=\dfrac{8x^{12}}{27}$
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