Algebra Examples

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

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

Step 2

Move the negative in front of the fraction.

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

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

Step 4

Anything raised to $0$ is $1$ .

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

Step 5

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

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

Step 6

Anything raised to $0$ is $1$ .

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

Step 7

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 8

Divide $1$ by $1$ .

$1$