Simplify ((18c^4)/(7d))÷(9c^2d)

$\frac{18 c^{4}}{7 d} \div (9 c^{2} d)$

Rewrite the division as a fraction.

$\frac{\frac{18 c^{4}}{7 d}}{9 c^{2} d}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{18 c^{4}}{7 d} \cdot \frac{1}{9 c^{2} d}$

Combine.

$\frac{18 c^{4} \cdot 1}{7 d (9 c^{2} d)}$

Multiply $d$ by $d$ by adding the exponents.

Move $d$ .

$\frac{18 c^{4} \cdot 1}{7 (d \cdot d) (9 c^{2})}$

Multiply $d$ by $d$ .

$\frac{18 c^{4} \cdot 1}{7 d^{2} (9 c^{2})}$

Multiply $18 c^{4}$ by $1$ .

$\frac{18 c^{4}}{7 d^{2} (9 c^{2})}$

Cancel the common factor of $18$ and $9$ .

Factor $9$ out of $18 c^{4}$ .

$\frac{9 (2 c^{4})}{7 d^{2} (9 c^{2})}$

Cancel the common factors.

Factor $9$ out of $7 d^{2} (9 c^{2})$ .

$\frac{9 (2 c^{4})}{9 (7 d^{2} (c^{2}))}$

Cancel the common factor.

$\frac{9 (2 c^{4})}{9 (7 d^{2} (c^{2}))}$

Rewrite the expression.

$\frac{2 c^{4}}{7 d^{2} (c^{2})}$

Cancel the common factor of $c^{4}$ and $c^{2}$ .

Factor $c^{2}$ out of $2 c^{4}$ .

$\frac{c^{2} (2 c^{2})}{7 d^{2} (c^{2})}$

Cancel the common factors.

Factor $c^{2}$ out of $7 d^{2} (c^{2})$ .

$\frac{c^{2} (2 c^{2})}{c^{2} (7 d^{2})}$

Cancel the common factor.

$\frac{c^{2} (2 c^{2})}{c^{2} (7 d^{2})}$

Rewrite the expression.

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