Algebra Examples

$y = {0.25}^{x}$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = {0.25}^{- 2}$

Step 2

Simplify ${0.25}^{- 2}$ .

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Step 2.1

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

$y = \frac{1}{{0.25}^{2}}$

Step 2.2

Raise $0.25$ to the power of $2$ .

$y = \frac{1}{0.0625}$

Step 2.3

Divide $1$ by $0.0625$ .

$y = 16$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = {0.25}^{- 1}$

Step 4

Simplify ${0.25}^{- 1}$ .

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Step 4.1

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

$y = \frac{1}{0.25}$

Step 4.2

Divide $1$ by $0.25$ .

$y = 4$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = {0.25}^{0}$

Step 6

Anything raised to $0$ is $1$ .

$y = 1$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y = {0.25}^{1}$

Step 8

Evaluate the exponent.

$y = 0.25$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y = {0.25}^{2}$

Step 10

Raise $0.25$ to the power of $2$ .

$y = 0.0625$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 16 \\ - 1 & 4 \\ 0 & 1 \\ 1 & 0.25 \\ 2 & 0.0625 \end{array}$

Step 12