Algebra Examples

$\frac{27 k^{5} m^{8}}{(4 k^{3}) (9 m^{2})}$

Step 1

Cancel the common factor of $27$ and $9$ .

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Step 1.1

Factor $9$ out of $27 k^{5} m^{8}$ .

$\frac{9 (3 k^{5} m^{8})}{(4 k^{3}) (9 m^{2})}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $9$ out of $(4 k^{3}) (9 m^{2})$ .

$\frac{9 (3 k^{5} m^{8})}{9 ((4 k^{3}) (m^{2}))}$

Step 1.2.2

Cancel the common factor.

$\frac{9 (3 k^{5} m^{8})}{9 ((4 k^{3}) (m^{2}))}$

Step 1.2.3

Rewrite the expression.

$\frac{3 k^{5} m^{8}}{(4 k^{3}) (m^{2})}$

$\frac{3 k^{5} m^{8}}{(4 k^{3}) (m^{2})}$

$\frac{3 k^{5} m^{8}}{(4 k^{3}) (m^{2})}$

Step 2

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

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Step 2.1

Factor $k^{3}$ out of $3 k^{5} m^{8}$ .

$\frac{k^{3} (3 k^{2} m^{8})}{(4 k^{3}) (m^{2})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $k^{3}$ out of $(4 k^{3}) (m^{2})$ .

$\frac{k^{3} (3 k^{2} m^{8})}{k^{3} ((4) (m^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{k^{3} (3 k^{2} m^{8})}{k^{3} ((4) (m^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{3 k^{2} m^{8}}{(4) (m^{2})}$

$\frac{3 k^{2} m^{8}}{(4) (m^{2})}$

$\frac{3 k^{2} m^{8}}{(4) (m^{2})}$

Step 3

Cancel the common factor of $m^{8}$ and $m^{2}$ .

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Step 3.1

Factor $m^{2}$ out of $3 k^{2} m^{8}$ .

$\frac{m^{2} (3 k^{2} m^{6})}{(4) (m^{2})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $m^{2}$ out of $(4) (m^{2})$ .

$\frac{m^{2} (3 k^{2} m^{6})}{m^{2} \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{m^{2} (3 k^{2} m^{6})}{m^{2} \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{3 k^{2} m^{6}}{4}$

$\frac{3 k^{2} m^{6}}{4}$

$\frac{3 k^{2} m^{6}}{4}$

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