Question

(r^2/s)^3 Simplify this exponential expression

Answer 1

r2x3 / s1x3

Explanation:

Raise both the numerator and denominator to the third power. Multiply by the exponents in the numerator (2x3). Multiply the exponents in the denominator (1x3). PF.

Answer 2

Answer: (r^6)/(s^3)

Reason:

When we cube the (r^2) in the numerator, we're multiplying it by itself 3 times

(r^2)^3 = (r^2)*(r^2)*(r^2) = r^(2+2+2) = r^6

or a shortcut is to say

(r^2)^3 = r^(2*3) = r^6

That explains how we get r^6 in the numerator of the final answer.

The s^3 in the denominator is simply the result of cubing the 's' in the original expression.