Simplify 7/(4x^3)*(10x)/(2x)

$\frac{7}{4 x^{3}} \cdot \frac{10 x}{2 x}$

Combine.

$\frac{7 (10 x)}{4 x^{3} (2 x)}$

Multiply $x^{3}$ by $x$ by adding the exponents.

Move $x$ .

$\frac{7 (10 x)}{4 (x \cdot x^{3}) \cdot 2}$

Multiply $x$ by $x^{3}$ .

Raise $x$ to the power of $1$ .

$\frac{7 (10 x)}{4 (x^{1} x^{3}) \cdot 2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 (10 x)}{4 x^{1 + 3} \cdot 2}$

Add $1$ and $3$ .

$\frac{7 (10 x)}{4 x^{4} \cdot 2}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $10$ and $4$ .

Factor $2$ out of $7 (10 x)$ .

$\frac{2 (7 (5 x))}{4 x^{4} \cdot 2}$

Cancel the common factors.

Factor $2$ out of $4 x^{4} \cdot 2$ .

$\frac{2 (7 (5 x))}{2 (2 x^{4} \cdot 2)}$

Cancel the common factor.

$\frac{2 (7 (5 x))}{2 (2 x^{4} \cdot 2)}$

Rewrite the expression.

$\frac{7 (5 x)}{2 x^{4} \cdot 2}$

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

Factor $x$ out of $7 (5 x)$ .

$\frac{x (7 \cdot (5))}{2 x^{4} \cdot 2}$

Cancel the common factors.

Factor $x$ out of $2 x^{4} \cdot 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $7$ by $5$ .

$\frac{35}{2 x^{3} \cdot 2}$

Multiply $2$ by $2$ .

$\frac{35}{4 x^{3}}$