Precalculus Examples

$\frac{25 y^{8}}{10 y^{4}}$

Step 1

Cancel the common factor of $25$ and $10$ .

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Step 1.1

Factor $5$ out of $25 y^{8}$ .

$\frac{5 (5 y^{8})}{10 y^{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $10 y^{4}$ .

$\frac{5 (5 y^{8})}{5 (2 y^{4})}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (5 y^{8})}{5 (2 y^{4})}$

Step 1.2.3

Rewrite the expression.

$\frac{5 y^{8}}{2 y^{4}}$

$\frac{5 y^{8}}{2 y^{4}}$

$\frac{5 y^{8}}{2 y^{4}}$

Step 2

Cancel the common factor of $y^{8}$ and $y^{4}$ .

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Step 2.1

Factor $y^{4}$ out of $5 y^{8}$ .

$\frac{y^{4} (5 y^{4})}{2 y^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{y^{4} (5 y^{4})}{y^{4} \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{y^{4} (5 y^{4})}{y^{4} \cdot 2}$

Step 2.2.3

Rewrite the expression.

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

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

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

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