Question

How do you simplify `(15x^-2y^-4)^-1 /(30xy)^-1`?

Answer 1

`((15x^(-2)y^(-4))^(-1))/((30xy)^(-1))`

`color(white)("XXXX")` `=((30xy))/((15x^(-2)y^(-4)))`

`color(white)("XXXX")` `= 30/15 * x/x^(-2) * y/y^(-4)`

`color(white)("XXXX")` `= 2x^3y^5`

(The major concept used throughout this is:
`color(white)("XXXX")` `b^(-m) = 1/(b^m)` and `1/b^(-m) = b^m`)