Calculus Examples

$f (x) = 2 {(2)}^{3} - 24 \cdot 2$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

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

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Step 1.1.1.1

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

$f (x) = 2 {(2)}^{3} - 24 \cdot 2$

Step 1.1.1.2

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

$f (x) = 2^{1 + 3} - 24 \cdot 2$

Step 1.1.2

Add $1$ and $3$ .

$f (x) = 2^{4} - 24 \cdot 2$

Step 1.2

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

$f (x) = 16 - 24 \cdot 2$

Step 1.3

Multiply $- 24$ by $2$ .

$f (x) = 16 - 48$

Step 2

Subtract $48$ from $16$ .

$f (x) = - 32$