Simplify (5m^0-n^0)/(m^0-5n^0)

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

Step 1

Simplify the numerator.

Anything raised to $0$ is $1$ .

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

Multiply $5$ by $1$ .

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

Anything raised to $0$ is $1$ .

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

Multiply $- 1$ by $1$ .

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

Subtract $1$ from $5$ .

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

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

Step 2

Simplify the denominator.

Anything raised to $0$ is $1$ .

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

Anything raised to $0$ is $1$ .

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

Multiply $- 5$ by $1$ .

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

Subtract $5$ from $1$ .

$\frac{4}{- 4}$

$\frac{4}{- 4}$

Step 3

Divide $4$ by $- 4$ .

$- 1$

Related Questions