Evaluate 4a^2b^-2c^3

$4 a^{2} b^{- 2} c^{3}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$4 a^{2} \frac{1}{b^{2}} c^{3}$

Multiply $4 a^{2} \frac{1}{b^{2}}$ .

Combine $4$ and $\frac{1}{b^{2}}$ .

$a^{2} \frac{4}{b^{2}} c^{3}$

Combine $a^{2}$ and $\frac{4}{b^{2}}$ .

$\frac{a^{2} \cdot 4}{b^{2}} c^{3}$

Move $4$ to the left of $a^{2}$ .

$\frac{4 \cdot a^{2}}{b^{2}} c^{3}$

Combine $\frac{4 a^{2}}{b^{2}}$ and $c^{3}$ .

$\frac{4 a^{2} c^{3}}{b^{2}}$