Algebra Examples

$\frac{5 m^{0} - n^{0}}{m^{0} - 5 n^{0}}$

Step 1

Simplify the numerator.

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Step 1.1

Anything raised to $0$ is $1$ .

$\frac{5 \cdot 1 - n^{0}}{m^{0} - 5 n^{0}}$

Step 1.2

Multiply $5$ by $1$ .

$\frac{5 - n^{0}}{m^{0} - 5 n^{0}}$

Step 1.3

Anything raised to $0$ is $1$ .

$\frac{5 - 1 \cdot 1}{m^{0} - 5 n^{0}}$

Step 1.4

Multiply $- 1$ by $1$ .

$\frac{5 - 1}{m^{0} - 5 n^{0}}$

Step 1.5

Subtract $1$ from $5$ .

$\frac{4}{m^{0} - 5 n^{0}}$

$\frac{4}{m^{0} - 5 n^{0}}$

Step 2

Simplify the denominator.

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Step 2.1

Anything raised to $0$ is $1$ .

$\frac{4}{1 - 5 n^{0}}$

Step 2.2

Anything raised to $0$ is $1$ .

$\frac{4}{1 - 5 \cdot 1}$

Step 2.3

Multiply $- 5$ by $1$ .

$\frac{4}{1 - 5}$

Step 2.4

Subtract $5$ from $1$ .

$\frac{4}{- 4}$

$\frac{4}{- 4}$

Step 3

Divide $4$ by $- 4$ .

$- 1$

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