Simplify (2x^3)/5*8/(3x^2)

$\frac{2 x^{3}}{5} \cdot \frac{8}{3 x^{2}}$

Step 1

Simplify terms.

Combine.

$\frac{2 x^{3} \cdot 8}{5 (3 x^{2})}$

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

Factor $x^{2}$ out of $2 x^{3} \cdot 8$ .

$\frac{x^{2} (2 x \cdot 8)}{5 (3 x^{2})}$

Cancel the common factors.

Factor $x^{2}$ out of $5 (3 x^{2})$ .

$\frac{x^{2} (2 x \cdot 8)}{x^{2} (5 \cdot (3))}$

Cancel the common factor.

$\frac{x^{2} (2 x \cdot 8)}{x^{2} (5 \cdot (3))}$

Rewrite the expression.

$\frac{2 x \cdot 8}{5 \cdot (3)}$

$\frac{2 x \cdot 8}{5 \cdot (3)}$

$\frac{2 x \cdot 8}{5 \cdot (3)}$

Multiply $8$ by $2$ .

$\frac{16 x}{5 \cdot (3)}$

$\frac{16 x}{5 \cdot (3)}$

Step 2

Multiply $5$ by $3$ .

$\frac{16 x}{15}$

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