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

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

Step 1

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

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

Step 2

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

Combine $3$ and $\frac{1}{b^{2}}$ .

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

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

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

Step 3

Move $3$ to the left of $a^{4}$ .

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

Step 4

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

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