Simplify (-3^2*2^2)/(4^-1)

$\frac{- 3^{2} \cdot 2^{2}}{4^{- 1}}$

Step 1

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

$- 3^{2} \cdot 2^{2} \cdot 4$

Step 2

Multiply $4$ by $- 1$ .

$- 4 \cdot 3^{2} \cdot 2^{2}$

Step 3

Raise $3$ to the power of $2$ .

$- 4 \cdot 9 \cdot 2^{2}$

Step 4

Multiply $- 4$ by $9$ .

$- 36 \cdot 2^{2}$

Step 5

Raise $2$ to the power of $2$ .

$- 36 \cdot 4$

Step 6

Multiply $- 36$ by $4$ .

$- 144$