Question

How do you simplify `x^5/x^-3`?

Answer 1

`x^8`

Explanation:

`x^5/x^-3=x^5/(1/x^3)=x^5*x^3=x^8`

remembering that:

`a^-n=1/a^n`

and

`a^n*a^m=a^(n+m)`

else, directly with the exponents proprerties:

`a^n/a^m=a^(n-m)`

then:

`x^5/x^-3=x^(5-(-3))=x^(5+3)=x^8`