# Power of a Product

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

## Formula

### Formula

(ab)^{m} = a^{m}⋅b^{m}

Power the numbers in the parentheses: a^{m}, b^{m}.

## Example

### Example

### Solution

Square x^{3}.

So write (x^{3})^{2}.

Then square y.

So write y^{2}.

So (x^{3}y)^{2} = (x^{3})^{2}⋅y^{2}.

(x^{3}y)^{2} = x^{3⋅2} = x^{6}

Power of a Power

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