Evaluate -1/3(-4)^2+5

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

Step 1

Simplify each term.

Raise $- 4$ to the power of $2$ .

$- \frac{1}{3} \cdot 16 + 5$

Multiply $- \frac{1}{3} \cdot 16$ .

Multiply $16$ by $- 1$ .

$- 16 (\frac{1}{3}) + 5$

Combine $- 16$ and $\frac{1}{3}$ .

$\frac{- 16}{3} + 5$

Move the negative in front of the fraction.

$- \frac{16}{3} + 5$

Step 2

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{16}{3} + 5 \cdot \frac{3}{3}$

Step 3

Combine $5$ and $\frac{3}{3}$ .

$- \frac{16}{3} + \frac{5 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 16 + 5 \cdot 3}{3}$

Step 5

Simplify the numerator.

Multiply $5$ by $3$ .

$\frac{- 16 + 15}{3}$

Add $- 16$ and $15$ .

$\frac{- 1}{3}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$