Finite Math Examples

$y = 3^{x}$ , $(- 3, 3)$

Step 1

Insert the values of $x = - 3$ and $y = 3$ into the equation to find if the ordered pair is a solution.

$3 = 3^{- 3}$

Step 2

Simplify $3^{- 3}$ .

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Step 2.1

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

$3 = \frac{1}{3^{3}}$

Step 2.2

Raise $3$ to the power of $3$ .

$3 = \frac{1}{27}$

Step 3

Since $3 \neq \frac{1}{27}$ , there are no solutions.

No solution

Step 4

Since the equation is not true when the values are used, the ordered pair is not a solution.

The ordered pair is not a solution to the equation.