# How do you simplify #(x^-4)^5(x^3y^2)^5#?

##### 1 Answer

Nov 1, 2015

#### Explanation:

First rule to use: the power of powers means to multiply the exponents, so

#(x^{-4})^5 = x^{-4*5} = x^{-20}# #(x^3y^2)^5 = x^{3*5}y^{2*5} = x^{15}y^{10}#

So, your expression becomes

Second rule to use: the product of powers with the same base means to sum the exponents. So, the