Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 418: 43


$1. a^{-4}\times a^{3}$ $2.\frac{a^{3}}{a^{4}}$ $3.\frac{1}{a}$

Work Step by Step

1. You are given the equation a^-4 x a^3 2. Take x^n if n is negative then x^n=1/x^-n 3. So in this case x=a and n=-4 therefore a^-4=1/a^-(-4 4. After the negatives cancel a^-4=1/a^4 5.Then multiply 1/a^4 and a^3 6. Cancel as 7. And you are left with the final answer, 1/a
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