Simplify (gh^4)/(-3g^-4)

$\frac{g h^{4}}{- 3 g^{- 4}}$

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

$\frac{g h^{4} g^{4}}{- 3}$

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

Move $g^{4}$ .

$\frac{g^{4} g h^{4}}{- 3}$

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

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

$\frac{g^{4} g^{1} h^{4}}{- 3}$

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

$\frac{g^{4 + 1} h^{4}}{- 3}$

Add $4$ and $1$ .

$\frac{g^{5} h^{4}}{- 3}$

Move the negative in front of the fraction.

$- \frac{g^{5} h^{4}}{3}$