Finite Math Examples

$a \cdot 3 = {(- 2)}^{3 - 1}$

Step 1

Subtract $1$ from $3$ .

$a \cdot 3 = {(- 2)}^{2}$

Step 2

Divide each term in $a \cdot 3 = {(- 2)}^{2}$ by $3$ and simplify.

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Step 2.1

Divide each term in $a \cdot 3 = {(- 2)}^{2}$ by $3$ .

$\frac{a \cdot 3}{3} = \frac{{(- 2)}^{2}}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{a \cdot 3}{3} = \frac{{(- 2)}^{2}}{3}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{{(- 2)}^{2}}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

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

$a = \frac{4}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{4}{3}$

Decimal Form:

$a = 1.\overline{3}$

Mixed Number Form:

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