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 - 7-5 Rational Exponents and Radicals - Lesson Check - Page 450: 6



Work Step by Step

$(8d)^{\frac{2}{3}}\qquad$...write in radical form, $a^{\frac{m}{n}}=\sqrt[n]{a^{m}}$ $=\sqrt[3]{(8d)^{2}}$ $=\sqrt[3]{64d^{2}}\qquad$...recognize $64$ as the third power of $4$. $=\sqrt[3]{4^{3}d^{2}}\qquad$...apply radical rule:$\sqrt[n]{a^{n}}=a$ $=4\sqrt[3]{d^{2}}$
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