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: 84

Answer

$-4t^{5}$

Work Step by Step

We start with the given expression: $2t(-2t^4)$ We re-arrange and regroup the expression using the commutative and associative properties of multiplication: $(2\times-2)(t^4t^1)$ We multiply the constants: $-4(t^4t^1)$ To multiply powers with the same base, we add the exponents: $-4(t^{4+1})=-4t^{5}$
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