Simplify (2x^2)/3*21/(x^3)

$\frac{2 x^{2}}{3} \cdot \frac{21}{x^{3}}$

Step 1

Combine.

$\frac{2 x^{2} \cdot 21}{3 x^{3}}$

Step 2

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

Factor $x^{2}$ out of $2 x^{2} \cdot 21$ .

$\frac{x^{2} (2 \cdot 21)}{3 x^{3}}$

Cancel the common factors.

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

$\frac{x^{2} (2 \cdot 21)}{x^{2} (3 x)}$

Cancel the common factor.

$\frac{x^{2} (2 \cdot 21)}{x^{2} (3 x)}$

Rewrite the expression.

$\frac{2 \cdot 21}{3 x}$

$\frac{2 \cdot 21}{3 x}$

$\frac{2 \cdot 21}{3 x}$

Step 3

Cancel the common factor of $21$ and $3$ .

Factor $3$ out of $2 \cdot 21$ .

$\frac{3 (2 \cdot 7)}{3 x}$

Cancel the common factors.

Factor $3$ out of $3 x$ .

$\frac{3 (2 \cdot 7)}{3 (x)}$

Cancel the common factor.

$\frac{3 (2 \cdot 7)}{3 x}$

Rewrite the expression.

$\frac{2 \cdot 7}{x}$

$\frac{2 \cdot 7}{x}$

$\frac{2 \cdot 7}{x}$

Step 4

Multiply $2$ by $7$ .

$\frac{14}{x}$

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