Question

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Answer 1

Answer:

The answer is B: (81m²n⁵)/8

Step-by-step explanation:

Find the attachment below for a step by step explanation.

Answer 2

Answer:

$\frac{81m^2n^5}{8}$

Step-by-step 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:

$= \frac{3^4m^{-4}n^8}{2^3m^{-6}n^3}$

$=\frac{81m^{(-4+6)}n^{(8-3)}}{8}$

Cancelling all the like terms to get:

$=\frac{81m^2n^5}{8}$

Therefore, option B is the correct answer.