johnschlappy johnschlappy

16-08-2016
Mathematics

Answered

What is the value of the expression?

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

A.

714

B.

72

C.

7−14

D.

7−2

Verified Answer :

dalendrk dalendrk

16-08-2016

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

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