Simplify (4xy^2)/(x^-4)

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

Step 1

Move $x^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

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

Move $x^{4}$ .

$4 (x^{4} x) y^{2}$

Multiply $x^{4}$ by $x$ .

Raise $x$ to the power of $1$ .

$4 (x^{4} x^{1}) y^{2}$

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

$4 x^{4 + 1} y^{2}$

Add $4$ and $1$ .

$4 x^{5} y^{2}$