Find the Product (5k)/6*3/(2k^3)

$\frac{5 k}{6} \cdot \frac{3}{2 k^{3}}$

Combine.

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

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

Factor $k$ out of $5 k \cdot 3$ .

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

Cancel the common factors.

Factor $k$ out of $6 (2 k^{3})$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $5 \cdot 3$ .

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

Cancel the common factors.

Factor $3$ out of $6 (2 k^{2})$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{5}{2 (2 k^{2})}$

$\frac{5}{2 (2 k^{2})}$

$\frac{5}{2 (2 k^{2})}$

Simplify the expression.

Multiply $2$ by $2$ .

$\frac{5}{2^{2} k^{2}}$

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

$\frac{5}{4 k^{2}}$

$\frac{5}{4 k^{2}}$

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