Evaluate Using the Given Value f(4)=(-4)^3-4^2-4+14

$f (4) = {(- 4)}^{3} - 4^{2} - 4 + 14$

Step 1

Simplify each term.

Raise $- 4$ to the power of $3$ .

$f (4) = - 64 - 4^{2} - 4 + 14$

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

$f (4) = - 64 - 1 \cdot 16 - 4 + 14$

Multiply $- 1$ by $16$ .

$f (4) = - 64 - 16 - 4 + 14$

Step 2

Simplify by adding and subtracting.

Subtract $16$ from $- 64$ .

$f (4) = - 80 - 4 + 14$

Subtract $4$ from $- 80$ .

$f (4) = - 84 + 14$

Add $- 84$ and $14$ .

$f (4) = - 70$