Question

the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a power?

Answer 1

x is the base
m and m are powers

mulitplying

`(x^m)(x^n)=x^(m+n)`
simply add the powers

dividing

`(x^m)/(x^n)=x^(m-n)`
subtract the power on the bottom from the power on top

raising a power

`(x^m)^n=x^(mn)`
multiply the powers