Evaluate Using the Given Value 8x^-2y^0 x=2 y=-4

$8 x^{- 2} y^{0}$ $x = 2$ $y = - 4$

Replace the variable $x$ with $2$ in the expression.

$8 {(2)}^{- 2} y^{0}$

Replace the variable $y$ with $- 4$ in the expression.

$8 {(2)}^{- 2} {(- 4)}^{0}$

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

$8 \frac{1}{2^{2}} {(- 4)}^{0}$

Raise $2$ to the power of $2$ .

$8 (\frac{1}{4}) {(- 4)}^{0}$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

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

Cancel the common factor.

$4 \cdot 2 \frac{1}{4} {(- 4)}^{0}$

Rewrite the expression.

$2 {(- 4)}^{0}$

Simplify the expression.

Anything raised to $0$ is $1$ .

$2 \cdot 1$

Multiply $2$ by $1$ .

$2$