Evaluate (-5/7)^0

${(- \frac{5}{7})}^{0}$

Step 1

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

Apply the product rule to $- \frac{5}{7}$ .

${(- 1)}^{0} {(\frac{5}{7})}^{0}$

Apply the product rule to $\frac{5}{7}$ .

${(- 1)}^{0} \frac{5^{0}}{7^{0}}$

Step 2

Anything raised to $0$ is $1$ .

$1 \frac{5^{0}}{7^{0}}$

Step 3

Multiply $\frac{5^{0}}{7^{0}}$ by $1$ .

$\frac{5^{0}}{7^{0}}$

Step 4

Anything raised to $0$ is $1$ .

$\frac{1}{7^{0}}$

Step 5

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 6

Divide $1$ by $1$ .

$1$