Question

Simplify the expression where possible. (r⁻³s²t)⁴

Answer 1

Simplify the expression where possible. (r⁻³s²t)⁴

answer= r^-12 s^8 t^4

Answer 2

Answer:
`(s^8t^4)/(r^(12))`

Explanation:

By the Negative exponent rule, you know that:

`a^(-1)=(1)/(a)`

And by the Power of a power property, you also know the following:

`(a^m)^n=a^(mn)`

Therefore, applying the above, you can simplify the given expression
`(r^(-3)s^2t)^4`. Then you get:

`(r^(-3)s^2t)^4=r^(-12)s^8t^4 =(s^8t^4)/(r^(12))`