Evaluate (9c^3)/(c^-4)

$\frac{9 c^{3}}{c^{- 4}}$

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

$9 c^{3} c^{4}$

Multiply $c^{3}$ by $c^{4}$ by adding the exponents.

Move $c^{4}$ .

$9 (c^{4} c^{3})$

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

$9 c^{4 + 3}$

Add $4$ and $3$ .

$9 c^{7}$