Question

How do you simplify `((b^x)^{x-5))/( b^(-5x))`?

Answer 1

`b^(x^2)`

Explanation:

Use `(a^m)^n=a^(mn) and a^m/a^n=a^(m-n)`.

Here, `(b^x)^(x-5)/b^(-5x)`

`=b^(x(x-5)-(-5x)`

`=b^(x^2)`.