Simplify ((-2x)/(5x))^0

${(\frac{- 2 x}{5 x})}^{0}$

Cancel the common factor of $x$ .

Cancel the common factor.

${(\frac{- 2 x}{5 x})}^{0}$

Rewrite the expression.

${(\frac{- 2}{5})}^{0}$

Move the negative in front of the fraction.

${(- \frac{2}{5})}^{0}$

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

Apply the product rule to $- \frac{2}{5}$ .

${(- 1)}^{0} {(\frac{2}{5})}^{0}$

Apply the product rule to $\frac{2}{5}$ .

${(- 1)}^{0} \frac{2^{0}}{5^{0}}$

Anything raised to $0$ is $1$ .

$1 \frac{2^{0}}{5^{0}}$

Multiply $\frac{2^{0}}{5^{0}}$ by $1$ .

$\frac{2^{0}}{5^{0}}$

Anything raised to $0$ is $1$ .

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

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$