Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 33



Work Step by Step

We are given the expression $\frac{-36a^{5}b^{7}c^{10}}{6ab^{3}c^{4}}$. We can simplify this expression by using the quotient rule, which holds that $\frac{a^{m}}{a^{n}}=a^{m-n}$ (where a is a nonzero real number, and m and n are integers). $\frac{-36a^{5}b^{7}c^{10}}{6ab^{3}c^{4}}=(\frac{-36}{6})\times(a^{5-1})\times(b^{7-3})\times(c^{10-4})=-6a^{4}b^{4}c^{6}$
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