Simplify the expression r^-3 s^5 t^2/r^2 st^-2

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the expression:

r^-3 s^5 t^2/r^2 st^-2

Simplify the expression.

Solution:

In order to simplify the expression we simply need to apply the laws of exponent dealing with division. The law states that when we divide exponents with the same base, we just need to subtract the base.

= r^-3 s^5 t^2/r^2 st^-2

= r^(-3 - 2) s^(5 - 1) t^(2 -(-2))

= r^-5 s^4 t^4

Final answer:
= r^-5 s^4 t^4