## Algebra 2 Common Core

$$\frac{1}{n^{3}}$$
To divide powers of the same base $n$, subtract the exponents of $n$: $$\frac{n^{3}}{n^{6}}=n^{3-6}=n^{-3}.$$ If the resulting exponent of $n$ is negative, then the expression is equivalent to the reciprocal of $n$ raised to the that same positive exponent: $$n^{-3}=\frac{1}{n^{3}}.$$