Basic Math Examples

$\frac{m^{5}}{y^{6}} \cdot \frac{y^{4}}{m^{2}}$

Step 1

Combine.

$\frac{m^{5} y^{4}}{y^{6} m^{2}}$

Step 2

Cancel the common factor of $m^{5}$ and $m^{2}$ .

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Step 2.1

Factor $m^{2}$ out of $m^{5} y^{4}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $m^{2}$ out of $y^{6} m^{2}$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{m^{3} y^{4}}{y^{6}}$

$\frac{m^{3} y^{4}}{y^{6}}$

$\frac{m^{3} y^{4}}{y^{6}}$

Step 3

Cancel the common factor of $y^{4}$ and $y^{6}$ .

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Step 3.1

Factor $y^{4}$ out of $m^{3} y^{4}$ .

$\frac{y^{4} m^{3}}{y^{6}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y^{4}$ out of $y^{6}$ .

$\frac{y^{4} m^{3}}{y^{4} y^{2}}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{4} m^{3}}{y^{4} y^{2}}$

Step 3.2.3

Rewrite the expression.

$\frac{m^{3}}{y^{2}}$

$\frac{m^{3}}{y^{2}}$

$\frac{m^{3}}{y^{2}}$

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