Evaluate -3^-2-3^0

$- 3^{- 2} - 3^{0}$

Step 1

Simplify each term.

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

$- \frac{1}{3^{2}} - 3^{0}$

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

$- \frac{1}{9} - 3^{0}$

Anything raised to $0$ is $1$ .

$- \frac{1}{9} - 1 \cdot 1$

Multiply $- 1$ by $1$ .

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

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- \frac{1}{9} - 1 \cdot \frac{9}{9}$

Step 3

Combine $- 1$ and $\frac{9}{9}$ .

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

Step 4

Combine the numerators over the common denominator.

$\frac{- 1 - 1 \cdot 9}{9}$

Step 5

Simplify the numerator.

Multiply $- 1$ by $9$ .

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

Subtract $9$ from $- 1$ .

$\frac{- 10}{9}$

Step 6

Move the negative in front of the fraction.

$- \frac{10}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{9}$

Decimal Form:

$- 1.\overline{1}$

Mixed Number Form:

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