Simplify 7/(2x^3)*(6x)/5

$\frac{7}{2 x^{3}} \cdot \frac{6 x}{5}$

Simplify terms.

Combine.

$\frac{7 (6 x)}{2 x^{3} \cdot 5}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $7 (6 x)$ .

$\frac{2 (7 (3 x))}{2 x^{3} \cdot 5}$

Cancel the common factors.

Factor $2$ out of $2 x^{3} \cdot 5$ .

$\frac{2 (7 (3 x))}{2 (x^{3} \cdot 5)}$

Cancel the common factor.

$\frac{2 (7 (3 x))}{2 (x^{3} \cdot 5)}$

Rewrite the expression.

$\frac{7 (3 x)}{x^{3} \cdot 5}$

$\frac{7 (3 x)}{x^{3} \cdot 5}$

$\frac{7 (3 x)}{x^{3} \cdot 5}$

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

Factor $x$ out of $7 (3 x)$ .

$\frac{x (7 \cdot (3))}{x^{3} \cdot 5}$

Cancel the common factors.

Factor $x$ out of $x^{3} \cdot 5$ .

$\frac{x (7 \cdot (3))}{x (x^{2} \cdot 5)}$

Cancel the common factor.

$\frac{x (7 \cdot (3))}{x (x^{2} \cdot 5)}$

Rewrite the expression.

$\frac{7 \cdot (3)}{x^{2} \cdot 5}$

$\frac{7 \cdot (3)}{x^{2} \cdot 5}$

$\frac{7 \cdot (3)}{x^{2} \cdot 5}$

$\frac{7 \cdot (3)}{x^{2} \cdot 5}$

Multiply $7$ by $3$ .

$\frac{21}{x^{2} \cdot 5}$

Move $5$ to the left of $x^{2}$ .

$\frac{21}{5 x^{2}}$

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