Precalculus Examples

$y = \frac{x^{3}}{2}$ , $(8, 256)$

Step 1

Insert the values of $x = 8$ and $y = 256$ into the equation to find if the ordered pair is a solution.

$256 = \frac{{(8)}^{3}}{2}$

Step 2

Simplify $\frac{8^{3}}{2}$ .

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Step 2.1

Raise $8$ to the power of $3$ .

$256 = \frac{512}{2}$

Step 2.2

Divide $512$ by $2$ .

$256 = 256$

Step 3

Since $256 = 256$ , the equation will always be true.

Always true

Step 4

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.