## Algebra 2 Common Core

$$\frac{a^{5}}{2}$$
Raise each factor in the parentheses to the second power: $$\frac{(3a^{3})^{2}}{18a}=\frac{(3)^{2}(a^{3})^{2}}{18a}.$$ Multiply exponents to raise a power to a power: $$\frac{9a^{3\times 2}}{18a}=\frac{9a^{6}}{18a}.$$ To divide powers of the same base, subtract the exponents: $$\frac{a^{6-1}}{2}=\frac{a^{5}}{2}.$$