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

1 Answer
May 31, 2016

Answer:

#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#