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22-09-2018
Mathematics

contestada

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

Respuesta :

22-09-2018

[tex]7^{-3}\cdot\dfrac{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}[/tex]

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