Power of a Product

When a product is inside the parentheses and a power is on the outside of the parentheses, then the outside power multiplies the exponent of each element inside.

**Power of a Product Rule:**

***Note: **This rule applies to a product only. If there is a sum or difference inside, refer to the steps of multiplying binomials.

**Example 1 **Simplify the following expression: (x^{2}y)^{4}

*Step 1. *Rewrite the expression with each element inside the parentheses to the power on the outside.

*Step 2. *Use the Power of a Power Rule.

**Example 2 **Simplify .

Use the Power of a Product Rule to simplify the expression.