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

$f (- 3) = - 3 {(- 3)}^{3} - 2$

Step 1

Simplify each term.

Multiply $- 3$ by ${(- 3)}^{3}$ by adding the exponents.

Multiply $- 3$ by ${(- 3)}^{3}$ .

Raise $- 3$ to the power of $1$ .

$f (- 3) = (- 3) {(- 3)}^{3} - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (- 3) = {(- 3)}^{1 + 3} - 2$

Add $1$ and $3$ .

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

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

$f (- 3) = 81 - 2$

Step 2

Subtract $2$ from $81$ .

$f (- 3) = 79$