Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Prerequisite Skills Diagnostic Test: 20

Answer

$\frac{x^{6}y}{4}$

Work Step by Step

$\frac{4^{-1}{(x^{2}y^{3})}^2}{x^{-2}y^{5}}$ 1. Using exponent rules, distribute the 2 to the variables inside the parenthesis: $\frac{4^{-1}x^{4}y^{6}}{x^{-2}y^{5}}$ 2. Move everything with a negative exponent to the other side of the fraction to make the exponent positive: $\frac{x^{4}x^{2}y^{6}}{4^{1}y^{5}}$ 3. Combine like terms and reduce the fraction to get your answer: $\frac{x^{6}y}{4}$
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