Algebra Examples

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

Step 1

Replace the variable $- 2$ with $- 2$ in the expression.

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

Step 2

Simplify the result.

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Step 2.1

Multiply ${(- 2)}^{3}$ by $- 2$ by adding the exponents.

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Step 2.1.1

Move $- 2$ .

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

Step 2.1.2

Multiply $- 2$ by ${(- 2)}^{3}$ .

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Step 2.1.2.1

Raise $- 2$ to the power of $1$ .

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

Step 2.1.2.2

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

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

Step 2.1.3

Add $1$ and $3$ .

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

Step 2.2

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

$f (- 2) = - 3 \cdot 16$

Step 2.3

Multiply $- 3$ by $16$ .

$f (- 2) = - 48$

Step 2.4

The final answer is $- 48$ .

$- 48$

Step 3