To find a power of a product, find the power of each factor and then multiply. In general, (*ab*)^{m} = *a ^{m}* ·

**Example 1:**

Simplify (3*t*)^{4}

(3*t*)^{4} = 3^{4} · *t*^{4} = 81*t*^{4}

Suppose you want to multiply two powers with the same exponent but different bases. By using the commutative property of multiplication, you can rewrite the rule as

* a ^{m}* ·

**Example 2:**

Simplify 3^{2} · 4^{2}

3^{2} · 4^{2} = (3 · 3) · (4 · 4)

= (3 · 4) (3 · 4)

= 12^{2}