Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

Cancel the common factor of $4$ .

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Step 5.1

Factor $4$ out of $8$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

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

Step 6

Simplify the expression.

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Step 6.1

Anything raised to $0$ is $1$ .

$2 \cdot 1$

Step 6.2

Multiply $2$ by $1$ .

$2$