What is the quotient StartFraction 2 m Superscript 9 Baseline n Superscript 4 Baseline Over Negative 4 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFractionin simplest form? Assume m not-equals 0, n not-equals 0.
Negative StartFraction m Superscript 12 Baseline n Superscript 6 Baseline Over 2 EndFraction
Negative StartFraction m Superscript 27 Baseline n Superscript 8 Baseline Over 2 EndFraction
6 m Superscript 12 Baseline n Superscript 6 Baseline
8 m Superscript 12 Baseline n Superscript 6 Baseline

The quotient of the expression after simplification is .

The given parameters:

The quotient of the given expression is obtained by simplifying the expression as follows;

The quotient of the expression is written as follows;

Thus, the quotient of the expression after simplification is .

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Step-by-step explanation:

We want to find the quotient of

We apply the quotient rule of indices to simplify the given exponential expression.

This implies that:

We simplify exponents to get:

Or

Therefore the correct choice is

step-by-step explanation: