Simplify (8x^2)/(1/(x^2))

$\frac{8 x^{2}}{\frac{1}{x^{2}}}$

Multiply the numerator by the reciprocal of the denominator.

$8 x^{2} x^{2}$

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$8 (x^{2} x^{2})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 x^{2 + 2}$

Add $2$ and $2$ .

$8 x^{4}$