Pre-Algebra Examples

$\frac{7^{0} x^{2} y^{5}}{21 x^{5} y}$

Step 1

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

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Step 1.1

Factor $x^{2}$ out of $7^{0} x^{2} y^{5}$ .

$\frac{x^{2} (7^{0} y^{5})}{21 x^{5} y}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x^{2}$ out of $21 x^{5} y$ .

$\frac{x^{2} (7^{0} y^{5})}{x^{2} (21 x^{3} y)}$

Step 1.2.2

Cancel the common factor.

$\frac{x^{2} (7^{0} y^{5})}{x^{2} (21 x^{3} y)}$

Step 1.2.3

Rewrite the expression.

$\frac{7^{0} y^{5}}{21 x^{3} y}$

$\frac{7^{0} y^{5}}{21 x^{3} y}$

$\frac{7^{0} y^{5}}{21 x^{3} y}$

Step 2

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

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Step 2.1

Factor $y$ out of $7^{0} y^{5}$ .

$\frac{y (7^{0} y^{4})}{21 x^{3} y}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $y$ out of $21 x^{3} y$ .

$\frac{y (7^{0} y^{4})}{y (21 x^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{y (7^{0} y^{4})}{y (21 x^{3})}$

Step 2.2.3

Rewrite the expression.

$\frac{7^{0} y^{4}}{21 x^{3}}$

$\frac{7^{0} y^{4}}{21 x^{3}}$

$\frac{7^{0} y^{4}}{21 x^{3}}$

Step 3

Simplify the numerator.

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Step 3.1

Anything raised to $0$ is $1$ .

$\frac{1 y^{4}}{21 x^{3}}$

Step 3.2

Multiply $y^{4}$ by $1$ .

$\frac{y^{4}}{21 x^{3}}$

$\frac{y^{4}}{21 x^{3}}$

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