Simplify (-3(w^4)^-1)/(5j^-6)

$\frac{- 3 {(w^{4})}^{- 1}}{5 j^{- 6}}$

Move ${(w^{4})}^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 3}{5 j^{- 6} w^{4}}$

Move $j^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- 3 j^{6}}{5 w^{4}}$

Move the negative in front of the fraction.

$- \frac{3 j^{6}}{5 w^{4}}$