Question

Select the correct answer.

Which expression is equivalent to the given expression?

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

A.

B.

C.

D.

Answer 1

`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!