What is the value of the expression? 7^-3.7^9/7^-8 A. 7^14 B. 7^2 C. 7^−14 D. 7^−2

asked Sep 28, 2019 55.7k views

4 votes

What is the value of the expression? 7^-3.7^9/7^-8

A.
7^14

B.
7^2

C.
7^−14

D.
7^−2

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4 votes

$7^(-3)\cdot(7^9)/(7^(-8))=7^(-3)\cdot7^9:7^(-8)=7^(-3+9-(-8))=7^(14)\\\\Used:\\\\a^n\cdot a^m=a^(n+m)\\\\a^n:a^m=a^(n-m)$

SriniShine answered Oct 2, 2019

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