Question

Hope to find help thank you!!

Answer 1

`(81m^2n^5)/(8)`

Explanation:

We are given the following expression and we are to simplify it:

`\frac { (3 m^ {-1} n^2 )^ 4} {( 2m ^ {-2} n ) ^3}`

Expanding the terms in both the numerator and the denominator by multiplying them with their whole powers to get:

`= (3^4m^(-4)n^8)/(2^3m^(-6)n^3)`

`=(81m^((-4+6))n^((8-3)))/(8)`

Cancelling all the like terms to get:

`=(81m^2n^5)/(8)`

Therefore, option B is the correct answer.

Answer 2

The answer is B: (81m²n⁵)/8

Explanation:

Find the attachment below for a step by step explanation.