# Power of a Product

How to solve the power of a product (ab)^{m}: formula, 1 example, and its solution.

## Formula

(ab)^{m} = a^{m}⋅b^{m}

Power the numbers in the parentheses.

## Example(x^{3}y)^{2}

Solution

Solution (Detail)

Square x^{3}.

(x^{3})^{2}

Square y.

y^{2}

So (x^{3}y)^{2} = (x^{3})^{2}⋅y^{2}.

(x^{3})^{2}

= x^{3⋅2}

= x^{6}

Power of a Power

So x^{6}y^{2} is the answer.