Calculus Examples

$24 {(0.5 (2) + 1)}^{- 3}$

Step 1

Multiply $0.5$ by $2$ .

$24 {(1 + 1)}^{- 3}$

Step 2

Add $1$ and $1$ .

$24 \cdot 2^{- 3}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$24 \cdot \frac{1}{2^{3}}$

Step 4

Raise $2$ to the power of $3$ .

$24 \cdot \frac{1}{8}$

Step 5

Cancel the common factor of $8$ .

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Step 5.1

Factor $8$ out of $24$ .

$8 (3) \cdot \frac{1}{8}$

Step 5.2

Cancel the common factor.

$8 \cdot 3 \cdot \frac{1}{8}$

Step 5.3

Rewrite the expression.

$3$