College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 56: 26

Answer

$\frac{3}{5a^3b^5}$

Work Step by Step

Reduce the coefficients and subtract the exponents of m and n. $\frac{15a^{-5}b^{-1}}{25a^{-2}b^4}=\frac{3}{5}a^{-5(-2)}b^{-1-4}$ Simplify. $\frac{15a^{-5}b^{-1}}{25a^{-2}b^4}=\frac{3}{5}a^{-3}b^{-5}$ Make the exponents positive. $\frac{15a^{-5}b^{-1}}{25a^{-2}b^4}=\frac{3}{5a^3b^5}$
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