Algebra Examples

$\frac{{(- x^{- 1} y)}^{0}}{4 w^{- 1} y^{2}}$

Step 1

Move $w^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{{(- x^{- 1} y)}^{0} w}{4 y^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Apply the product rule to $- x^{- 1} y$ .

$\frac{{(- x^{- 1})}^{0} y^{0} w}{4 y^{2}}$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{(- \frac{1}{x})}^{0} y^{0} w}{4 y^{2}}$

Step 2.3

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

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Step 2.3.1

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

$\frac{{(- 1)}^{0} {(\frac{1}{x})}^{0} y^{0} w}{4 y^{2}}$

Step 2.3.2

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

$\frac{{(- 1)}^{0} \frac{1^{0}}{x^{0}} y^{0} w}{4 y^{2}}$

Step 2.4

Anything raised to $0$ is $1$ .

$\frac{1 \frac{1^{0}}{x^{0}} y^{0} w}{4 y^{2}}$

Step 2.5

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

$\frac{\frac{1^{0}}{x^{0}} y^{0} w}{4 y^{2}}$

Step 2.6

Anything raised to $0$ is $1$ .

$\frac{\frac{1}{x^{0}} y^{0} w}{4 y^{2}}$

Step 2.7

Anything raised to $0$ is $1$ .

$\frac{\frac{1}{1} y^{0} w}{4 y^{2}}$

Step 2.8

Divide $1$ by $1$ .

$\frac{1 y^{0} w}{4 y^{2}}$

Step 2.9

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1 w}{4 y^{2}}$

Step 2.10

Combine exponents.

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Step 2.10.1

Multiply $1$ by $1$ .

$\frac{1 w}{4 y^{2}}$

Step 2.10.2

Multiply $w$ by $1$ .

$\frac{w}{4 y^{2}}$