Algebra Examples

$a_{2} = {(\frac{1}{3})}^{2} (5 (2) - 4)$

Simplify the expression.

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Apply the product rule to $\frac{1}{3}$ .

$a_{2} = \frac{1^{2}}{3^{2}} (5 (2) - 4)$

One to any power is one.

$a_{2} = \frac{1}{3^{2}} (5 (2) - 4)$

Raise $3$ to the power of $2$ .

$a_{2} = \frac{1}{9} (5 (2) - 4)$

Multiply $5$ by $2$ .

$a_{2} = \frac{1}{9} (10 - 4)$

Subtract $4$ from $10$ .

$a_{2} = \frac{1}{9} \cdot 6$

$a_{2} = \frac{1}{9} \cdot 6$

Cancel the common factor of $3$ .

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Factor $3$ out of $9$ .

$a_{2} = \frac{1}{3 (3)} \cdot 6$

Factor $3$ out of $6$ .

$a_{2} = \frac{1}{3 \cdot 3} \cdot (3 \cdot 2)$

Cancel the common factor.

$a_{2} = \frac{1}{3 \cdot 3} \cdot (3 \cdot 2)$

Rewrite the expression.

$a_{2} = \frac{1}{3} \cdot 2$

$a_{2} = \frac{1}{3} \cdot 2$

Combine $\frac{1}{3}$ and $2$ .

$a_{2} = \frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$a_{2} = \frac{2}{3}$

Decimal Form:

$a_{2} = 0.\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$