Question

Which expression is equivalent to (m^8n^−4)^14 ?

Answer 1

Which expression is equivalent to $(m^8\times n^-4)^ 1/4$

Answer:

m^2/n

Step-by-step explanation:

Given.

I assume this is your expression:

The expression is $=(m^{8} \times n^{-4} )^{\frac{1}{4} }$

Now simplify the expression by multiplying the power.

$=(m^{8\times \frac{1}{4}} \times n^{-4\times \frac{1}{4}}} )$

$=(m^{2} \times n^{-1} )$

$=\frac{m^{2}}{n}$

So, the expression is equivalent to $\frac{m^{2}}{n}$