Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - Chapter Review - 7-3 and 7-4 Multiplication Properties of Exponents - Page 465: 35



Work Step by Step

We start with the given expression: $(5c^{-4})(-4m^2c^8)$ We rearrange and regroup the expression using the associative and commutative properties of multiplication: $(5\times-4)(c^{-4}c^8)(m^2)$ We multiply the constants: $-20m^2(c^{-4}c^8)$ To multiply powers with the same base, we add the exponents: $-20m^2c^{8-4}=-20m^2c^4$
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