Algebra Examples

$\frac{4}{9 k^{5}} \cdot \frac{3 k^{3}}{8}$

Step 1

Combine.

$\frac{4 (3 k^{3})}{9 k^{5} \cdot 8}$

Step 2

Cancel the common factors.

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Step 2.1

Factor $4$ out of $9 k^{5} \cdot 8$ .

$\frac{4 (3 k^{3})}{4 (9 k^{5} \cdot 2)}$

Step 2.2

Cancel the common factor.

$\frac{4 (3 k^{3})}{4 (9 k^{5} \cdot 2)}$

Step 2.3

Rewrite the expression.

$\frac{3 k^{3}}{9 k^{5} \cdot 2}$

$\frac{3 k^{3}}{9 k^{5} \cdot 2}$

Step 3

Cancel the common factor of $3$ and $9$ .

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Step 3.1

Factor $3$ out of $3 k^{3}$ .

$\frac{3 (k^{3})}{9 k^{5} \cdot 2}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $9 k^{5} \cdot 2$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $k^{3}$ and $k^{5}$ .

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Step 4.1

Multiply by $1$ .

$\frac{k^{3} \cdot 1}{3 k^{5} \cdot 2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $k^{3}$ out of $3 k^{5} \cdot 2$ .

$\frac{k^{3} \cdot 1}{k^{3} (3 k^{2} \cdot 2)}$

Step 4.2.2

Cancel the common factor.

$\frac{k^{3} \cdot 1}{k^{3} (3 k^{2} \cdot 2)}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{3 k^{2} \cdot 2}$

$\frac{1}{3 k^{2} \cdot 2}$

$\frac{1}{3 k^{2} \cdot 2}$

Step 5

Multiply $2$ by $3$ .

$\frac{1}{6 k^{2}}$

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