Evaluate (-1/5)^0

${(- \frac{1}{5})}^{0}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- \frac{1}{5}$ .

${(- 1)}^{0} {(\frac{1}{5})}^{0}$

Apply the product rule to $\frac{1}{5}$ .

${(- 1)}^{0} \frac{1^{0}}{5^{0}}$

Step 2

Anything raised to $0$ is $1$ .

$1 \frac{1^{0}}{5^{0}}$

Step 3

Multiply $\frac{1^{0}}{5^{0}}$ by $1$ .

$\frac{1^{0}}{5^{0}}$

Step 4

Anything raised to $0$ is $1$ .

$\frac{1}{5^{0}}$

Step 5

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 6

Divide $1$ by $1$ .

$1$