Power of a Product

Power of a Product

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

Example 1

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

(x3y)2 means multiplying x3y 2 times.

So (x3y)2 = x3⋅2y1⋅2.

This is the multi variable version
of the power of a power.

Example 2

Simplify the given expression. (((a^2)b)^3)*(2a(b^5)c)^4

Product of powers