Simplify 7c^3*d^-2

$7 c^{3} \cdot d^{- 2}$

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

$7 c^{3} \cdot \frac{1}{d^{2}}$

Multiply $7 c^{3} \frac{1}{d^{2}}$ .

Combine $7$ and $\frac{1}{d^{2}}$ .

$c^{3} \frac{7}{d^{2}}$

Combine $c^{3}$ and $\frac{7}{d^{2}}$ .

$\frac{c^{3} \cdot 7}{d^{2}}$

Move $7$ to the left of $c^{3}$ .

$\frac{7 c^{3}}{d^{2}}$