Simplify (2(3x)^2)/(3x^3)

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

Simplify the numerator.

Apply the product rule to $3 x$ .

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

Raise $3$ to the power of $2$ .

$\frac{2 \cdot 9 x^{2}}{3 x^{3}}$

Multiply $2$ by $9$ .

$\frac{18 x^{2}}{3 x^{3}}$

$\frac{18 x^{2}}{3 x^{3}}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $18$ and $3$ .

Factor $3$ out of $18 x^{2}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $x^{2}$ and $x^{3}$ .

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

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

Cancel the common factors.

Factor $x^{2}$ out of $x^{3}$ .

$\frac{x^{2} \cdot 6}{x^{2} x}$

Cancel the common factor.

$\frac{x^{2} \cdot 6}{x^{2} x}$

Rewrite the expression.

$\frac{6}{x}$

$\frac{6}{x}$

$\frac{6}{x}$

$\frac{6}{x}$

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