Calculus Examples

$s = 108 {(0.5 t + 1)}^{- 1}$

Step 1

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

$s = 108 \frac{1}{0.5 t + 1}$

Step 2

Factor $0.5$ out of $0.5 t + 1$ .

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Step 2.1

Factor $0.5$ out of $0.5 t$ .

$s = 108 \frac{1}{0.5 (t) + 1}$

Step 2.2

Factor $0.5$ out of $1$ .

$s = 108 \frac{1}{0.5 t + 0.5 \cdot 2}$

Step 2.3

Factor $0.5$ out of $0.5 t + 0.5 \cdot 2$ .

$s = 108 \frac{1}{0.5 (t + 2)}$

Step 3

Cancel the common factor of $0.5$ .

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Step 3.1

Factor $0.5$ out of $108$ .

$s = 0.5 (216) \frac{1}{0.5 (t + 2)}$

Step 3.2

Cancel the common factor.

$s = 0.5 \cdot 216 \frac{1}{0.5 (t + 2)}$

Step 3.3

Rewrite the expression.

$s = 216 \frac{1}{t + 2}$

Step 4

Combine $216$ and $\frac{1}{t + 2}$ .

$s = \frac{216}{t + 2}$