Simplify (x^4y^0)/(x^-2)

$\frac{x^{4} y^{0}}{x^{- 2}}$

Move $x^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{4} y^{0} x^{2}$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$x^{2} x^{4} y^{0}$

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

$x^{2 + 4} y^{0}$

Add $2$ and $4$ .

$x^{6} y^{0}$

Simplify $x^{6} y^{0}$ .

$x^{6}$