Simplify ((6c)^3)/c

$\frac{{(6 c)}^{3}}{c}$

Step 1

Simplify the numerator.

Apply the product rule to $6 c$ .

$\frac{6^{3} c^{3}}{c}$

Raise $6$ to the power of $3$ .

$\frac{216 c^{3}}{c}$

$\frac{216 c^{3}}{c}$

Step 2

Cancel the common factor of $c^{3}$ and $c$ .

Factor $c$ out of $216 c^{3}$ .

$\frac{c (216 c^{2})}{c}$

Cancel the common factors.

Raise $c$ to the power of $1$ .

$\frac{c (216 c^{2})}{c^{1}}$

Factor $c$ out of $c^{1}$ .

$\frac{c (216 c^{2})}{c \cdot 1}$

Cancel the common factor.

$\frac{c (216 c^{2})}{c \cdot 1}$

Rewrite the expression.

$\frac{216 c^{2}}{1}$

Divide $216 c^{2}$ by $1$ .

$216 c^{2}$

$216 c^{2}$

$216 c^{2}$

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