Simplify (xy)^0-2^-1

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

Simplify each term.

Apply the product rule to $x y$ .

$x^{0} y^{0} - 2^{- 1}$

Anything raised to $0$ is $1$ .

$1 y^{0} - 2^{- 1}$

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

$y^{0} - 2^{- 1}$

Anything raised to $0$ is $1$ .

$1 - 2^{- 1}$

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

$1 - \frac{1}{2}$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$\frac{2}{2} - \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{2 - 1}{2}$

Subtract $1$ from $2$ .

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$