Power of a Quotient

Power of a Quotient

How to solve the power of a quotient problems: examples and their solutions.

Example 1

Simplify the given expression. (y ≠ 0) (x/(y^2))^3

(x/y2)3 means multiplying x/y2 3 times.

So (x/y2)3 = x1⋅3/y2⋅3.

This is the fraction version
of the power of a product.

Example 2

Simplify the given expression. (a, b ≠ 0) (((3a^4)/b)^2) * (b/(2a))^3

Quotient of powers