Algebra Examples

$- 3^{- 1} + 3$

Step 1

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

$- \frac{1}{3} + 3$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{3} + 3 \cdot \frac{3}{3}$

Step 3

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

$- \frac{1}{3} + \frac{3 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 1 + 3 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

$\frac{- 1 + 9}{3}$

Step 5.2

Add $- 1$ and $9$ .

$\frac{8}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$