## Algebra 1

$x^7$
We start with the expression: $\frac{1}{x^{-7}}$ We rewrite the expression using the division symbol: $1\div x^{-7}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression as $1\div\frac{1}{x^7}$. To divide by a fraction, we rewrite by multiplying by the reciprocal: $1\times x^7$ We multiply: $x^7$