Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises: 17

Answer

$56x^{6}$

Work Step by Step

We start with the given expression: $7x^{5}\times8x^{1}$ We rearrange and regroup the expression using the associative and commutative properties of multiplication: $(7\times8)(x^{5}x^{1})$ We multiply the coefficients: $56(x^{5}x^{1})$ To multiply powers with the same base, we add the exponents: $56(x^{5+1})=56x^{6}$
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