Divide (18x^6)/(27x^4)

$\frac{18 x^{6}}{27 x^{4}}$

Step 1

Cancel the common factor of $18$ and $27$ .

Factor $9$ out of $18 x^{6}$ .

$\frac{9 (2 x^{6})}{27 x^{4}}$

Cancel the common factors.

Factor $9$ out of $27 x^{4}$ .

$\frac{9 (2 x^{6})}{9 (3 x^{4})}$

Cancel the common factor.

$\frac{9 (2 x^{6})}{9 (3 x^{4})}$

Rewrite the expression.

$\frac{2 x^{6}}{3 x^{4}}$

$\frac{2 x^{6}}{3 x^{4}}$

$\frac{2 x^{6}}{3 x^{4}}$

Step 2

Cancel the common factor of $x^{6}$ and $x^{4}$ .

Factor $x^{4}$ out of $2 x^{6}$ .

$\frac{x^{4} (2 x^{2})}{3 x^{4}}$

Cancel the common factors.

Factor $x^{4}$ out of $3 x^{4}$ .

$\frac{x^{4} (2 x^{2})}{x^{4} \cdot 3}$

Cancel the common factor.

$\frac{x^{4} (2 x^{2})}{x^{4} \cdot 3}$

Rewrite the expression.

$\frac{2 x^{2}}{3}$

$\frac{2 x^{2}}{3}$

$\frac{2 x^{2}}{3}$

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