Question

Which expression is equivalent to startfraction (2 m n) superscript 4 baseline over 6 m superscript negative 3 baseline n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.

Answer 1

The equivalent expression of $\frac{(2mn)^4}{6m^{-3}n^{-2}}$ is $\frac{(2mn)^4}{6m^{-3}n^{-2}}$

How to determine the equivalent expression?

The expression is given as:

$\frac{(2mn)^4}{6m^{-3}n^{-2}}$

Evaluate the expression on the numerator

$\frac{16m^4n^4}{6m^{-3}n^{-2}}$

Divide 16 by 6

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

Apply the law of indices

$\frac{8m^7n^6}{3}$

Hence, the equivalent expression of $\frac{(2mn)^4}{6m^{-3}n^{-2}}$ is $\frac{(2mn)^4}{6m^{-3}n^{-2}}$

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