Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Mixed Review: 81

Answer

$\frac{b^4}{c^6}$

Work Step by Step

We start with the given expression: $bc^{-6}b^3$. We re-arrange the terms using the commutative property of multiplication: $bb^3c^{-6}$ To multiply powers with the same base, we add the exponents: $b^4c^{-6}$ 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: $\frac{b^4}{c^6}$
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