Simplify (k/2)^3*(-2y)^3

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

Simplify the expression.

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Apply the product rule to $\frac{k}{2}$ .

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

Raise $2$ to the power of $3$ .

$\frac{k^{3}}{8} \cdot {(- 2 y)}^{3}$

Apply the product rule to $- 2 y$ .

$\frac{k^{3}}{8} \cdot ({(- 2)}^{3} y^{3})$

Rewrite using the commutative property of multiplication.

${(- 2)}^{3} \frac{k^{3}}{8} y^{3}$

Raise $- 2$ to the power of $3$ .

$- 8 \frac{k^{3}}{8} y^{3}$

Cancel the common factor of $8$ .

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Factor $8$ out of $- 8$ .

$8 (- 1) \frac{k^{3}}{8} y^{3}$

Cancel the common factor.

$8 \cdot - 1 \frac{k^{3}}{8} y^{3}$

Rewrite the expression.

$- k^{3} y^{3}$

Simplify (k/2)^3*(-2y)^3