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: 83

Answer

$54n^4m^5$

Work Step by Step

We start with the given expression: $9m^3(6m^2n^4)$ We re-arrange and regroup the expression using the commutative and associative properties of multiplication: $(9\times6)(m^3m^2)n^4$ We multiply the constants: $54n^4(m^3m^2)$ To multiply powers with the same base, we add the exponents: $54n^4(m^{3+2})=54n^4m^5$
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