Question

What is the value of the expression?

7^-3x7^9/7^-8


A.
714

B.
72

C.
7−14

D.
7−2

Answer 1

`Use:\\a^n\cdot a^m=a^(n+m)\ and\ a^n:a^m=a^(n-m)\\\\7^(-3)\cdot(7^9)/(7^(-8))=7^(-3)\cdot7^(9-(-8))=7^(-3+9+8)=7^(14)\\\\Answer:\boxed{A.\ 7^(14)}`