Basic Math Examples

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

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Apply the product rule to $- 2 y$ .

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

Step 1.4

Rewrite using the commutative property of multiplication.

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

Step 1.5

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

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

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

Step 2

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.1

Factor $8$ out of $- 8$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$