Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 444: 63



Work Step by Step

You have $\frac{(2a^6)(4a)}{8a^3}$.Simplify the expression. Simplify the numerator: 2$a^{6}$ $\times$4a= 8a$^7$ -Multiply 2 and 4 to get 8. Add the exponents because they have the same base- $\frac{8a^7}{8a^3}$ -divide the numbers 8/8=1- $\frac{a^7}{a^3}$ -subtract the exponents since you are dividing numbers with the same value- $a^{7-3}=a^{4}$ The simplified expression is $a^{4}$
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