College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises - Page 90: 69

Answer

$20x^{\frac{11}{12}}$

Work Step by Step

Use the formula $a^ba^c=a^{b+c}$ to combine the exponents. Then continue to multiply the other numbers and simplify. $(5x^{\frac{2}{3}})(4x^{\frac{1}{4}})$ $(5*4)(x^{\frac{2}{3}}x^{\frac{1}{4}})$ $20x^{\frac{2}{3}+\frac{1}{4}}$ $20x^{\frac{8+3}{12}}$ $20x^{\frac{11}{12}}$
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