Write the Fraction in Simplest Form (12c^9)/((4c)^4)

$\frac{12 c^{9}}{{(4 c)}^{4}}$

Simplify the denominator.

Apply the product rule to $4 c$ .

$\frac{12 c^{9}}{4^{4} c^{4}}$

Raise $4$ to the power of $4$ .

$\frac{12 c^{9}}{256 c^{4}}$

$\frac{12 c^{9}}{256 c^{4}}$

Cancel the common factor of $12$ and $256$ .

Factor $4$ out of $12 c^{9}$ .

$\frac{4 (3 c^{9})}{256 c^{4}}$

Cancel the common factors.

Factor $4$ out of $256 c^{4}$ .

$\frac{4 (3 c^{9})}{4 (64 c^{4})}$

Cancel the common factor.

$\frac{4 (3 c^{9})}{4 (64 c^{4})}$

Rewrite the expression.

$\frac{3 c^{9}}{64 c^{4}}$

$\frac{3 c^{9}}{64 c^{4}}$

$\frac{3 c^{9}}{64 c^{4}}$

Cancel the common factor of $c^{9}$ and $c^{4}$ .

Factor $c^{4}$ out of $3 c^{9}$ .

$\frac{c^{4} (3 c^{5})}{64 c^{4}}$

Cancel the common factors.

Factor $c^{4}$ out of $64 c^{4}$ .

$\frac{c^{4} (3 c^{5})}{c^{4} \cdot 64}$

Cancel the common factor.

$\frac{c^{4} (3 c^{5})}{c^{4} \cdot 64}$

Rewrite the expression.

$\frac{3 c^{5}}{64}$

$\frac{3 c^{5}}{64}$

$\frac{3 c^{5}}{64}$

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