Algebra Examples

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

Step 1

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

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

Step 2

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

$\frac{1}{2} \cdot \frac{x^{0}}{y^{0}}$

Step 3

Combine.

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

Step 4

Simplify the expression.

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Step 4.1

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

$\frac{x^{0}}{2 y^{0}}$

Step 4.2

Anything raised to $0$ is $1$ .

$\frac{x^{0}}{2 \cdot 1}$

Step 4.3

Anything raised to $0$ is $1$ .

$\frac{1}{2 \cdot 1}$

Step 4.4

Multiply $2$ by $1$ .

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$