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: 53

Answer

$\dfrac{(x^{3})^{1/2}}{x^{7/2}}=\dfrac{1}{x^{2}}$

Work Step by Step

$\dfrac{(x^{3})^{1/2}}{x^{7/2}}$ Evaluate the power indicated in the numerator: $\dfrac{(x^{3})^{1/2}}{x^{7/2}}=\dfrac{x^{3/2}}{x^{7/2}}=...$ Evaluate the division. Give the answer without negative exponents: $...=x^{3/2-7/2}=x^{-4/2}=x^{-2}=\dfrac{1}{x^{2}}$
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