Question

Simplify the expression where possible.
(r ^-3 s^2 t) ^4

Answer 1

`Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^(n\cdot m)\\-------------------\\\\\left(r^(-3)s^2t\right)^4=\left(r^(-3)\right)^4\left(s^2\right)^4(t)^4=r^((-3)(4))s^((2)(4))t^4\\\\=\boxed{r^(-12)s^8t^4}\to\boxed{(s^8t^4)/(r^(12))}`