pre calc question

Question

Rewrite the expression a^-s/t in radical form. Then state the index of the radical.

Answer 1

1/ a^(s/t) =

1/ root_t(a^s)

the index is technically -t

Answer 2

For this problem , you have to remember the exponent's rule. Any quantity raise to a negative number is equals to 1/ the same number ,but the exponent now is positive.

meaning this: a^-s/t =. 1/ (a)^s/t =. now in radical form : 1/ t√ a^ s. The math tools are not available to write this in a way that you can see it better. I will try to say it in words: One over the the root of t radicant a of a raise to the s. The index is t, the exponent in the inside of the radical is s and the base is a.

Good luck !! probably next time is better to record a video .