Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - Chapter 11 Test: 9

Answer

$10x^{\frac{11}{12}}$

Work Step by Step

Recall the rule: $a^{m}a^{n}=a^{m+n}$. Thus, we obtain: $2x^{\frac{1}{4}}\times5x^{\frac{2}{3}}$ =$(2\times5)\times x^{\frac{1}{4}}\times x^{\frac{2}{3}}$ =$(10)\times x^{\frac{1}{4}+\frac{2}{3}}$ =$(10)\times x^{\frac{3+4(2)}{12}}$ =$(10)\times x^{\frac{11}{12}}$ =$10x^{\frac{11}{12}}$
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