Basic Math Examples

$\frac{s^{4}}{6 y} \cdot \frac{36 y^{4}}{s^{6}}$

Step 1

Combine.

$\frac{s^{4} (36 y^{4})}{6 y s^{6}}$

Step 2

Cancel the common factors.

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Step 2.1

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

$\frac{s^{4} (36 y^{4})}{s^{4} (6 y s^{2})}$

Step 2.2

Cancel the common factor.

$\frac{s^{4} (36 y^{4})}{s^{4} (6 y s^{2})}$

Step 2.3

Rewrite the expression.

$\frac{36 y^{4}}{6 y s^{2}}$

$\frac{36 y^{4}}{6 y s^{2}}$

Step 3

Cancel the common factor of $36$ and $6$ .

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Step 3.1

Factor $6$ out of $36 y^{4}$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

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

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{6 y^{4}}{y s^{2}}$

$\frac{6 y^{4}}{y s^{2}}$

$\frac{6 y^{4}}{y s^{2}}$

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $y$ out of $y s^{2}$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{6 y^{3}}{s^{2}}$

$\frac{6 y^{3}}{s^{2}}$

$\frac{6 y^{3}}{s^{2}}$

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