## Elementary Algebra

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 $\frac{1}{x^{-2}}$ as $\frac{1}{\frac{1}{x^{2}}}$. We rewrite this fraction as a division problem: $\frac{1}{1}÷\frac{1}{x^2}$ To divide fractions, we multiply by the reciprocal: $\frac{1}{1}\times\frac{x^2}{1}=x^2$ The statement is true.