Power of a Power

To simplify an expression that has an exponent raised to a power, multiply the existing exponent by the power.

**Power of a Power Rule** : *(x ^{n})^{m} = x^{n}*

To see why this rule works, see the expansion below:

Therefore, .

**Example **

Simplify .

Use the *Power of a Power* *Rule* to multiply the exponents.