Select the correct answer. Which expression is equivalent to the given expression? (3m^-4)^3(3m^5) A. B. C. D.

asked Jun 1, 2023 70.7k views

8 votes

Select the correct answer.

Which expression is equivalent to the given expression?

(3m^-4)^3(3m^5)

A.

B.

C.

D.

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11 votes

Answer:

$d)\ (81)/(m^(7))$

Explanation:

(3m^-4)^3(3m^5)

First, simplify
(3m^(-4))^3 :

$(3m^(-4))^3\\\\3^3*m^(-4*3)\\\\27m^(-12)$

$27m^(-12)*3m^5\\\\27*3 *m^(-12+5)\\\\81m^(-7)\\\\81*(1)/(m^(7)) \\\\(81)/(m^(7))$

Hope this helps!

Amito answered Jun 4, 2023

by Amito

8.4k points

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