Question

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

Answer 1

Answer: $\frac{s^8t^4}{r^{12}}$

Step-by-step explanation:

By the Negative exponent rule, you know that:

$a^{-1}=\frac{1}{a}$

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:

$(r^{-3}s^2t)^4=r^{-12}s^8t^4 =\frac{s^8t^4}{r^{12}}$