Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-2 Scientific Notation - Mixed Review: 59

Answer

$4mn^5$

Work Step by Step

We rewrite the given expression as a division problem: $4m\div n^{-5}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression: $4m\div\frac{1}{n^5}$ To divide by a fraction, we multiply by the reciprocal: $4m\times\frac{n^5}{1}$ We simplify: $4mn^5$
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