Question

How do you simplify `(-m^2n^4 times -mn^-2)^5`?

Answer 1

`m^15n^10`

Explanation:

First multiply the two terms in the parentheses keeping in mind that you add the exponents of terms with the same base.

`((-1)^2m^(2+1)n^(4-2))^5=(m^3n^2)^5`

Now distribute the fifth power to each term in the parentheses keeping in mind that you multiply each term by the power.

`m^(3*5)n^(2*5)=m^15n^10`