Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.2 - Rational Exponents - Exercise Set: 55

Answer

$\dfrac{(3x^{1/4})^{3}}{x^{1/12}}=27x^{2/3}$

Work Step by Step

$\dfrac{(3x^{1/4})^{3}}{x^{1/12}}$ Evaluate the power indicated in the numerator: $\dfrac{(3x^{1/4})^{3}}{x^{1/12}}=\dfrac{27x^{3/4}}{x^{1/12}}=...$ Do the division: $27x^{3/4-1/12}=27x^{2/3}$
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