Basic Math Examples

$p = \frac{220}{1 + 12 e^{- 0.51 \cdot 6}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 0.51$ by $6$ .

$p = \frac{220}{1 + 12 e^{- 3.06}}$

Step 1.2

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

$p = \frac{220}{1 + 12 \frac{1}{e^{3.06}}}$

Step 1.3

Combine $12$ and $\frac{1}{e^{3.06}}$ .

$p = \frac{220}{1 + \frac{12}{e^{3.06}}}$

Step 1.4

Write $1$ as a fraction with a common denominator.

$p = \frac{220}{\frac{e^{3.06}}{e^{3.06}} + \frac{12}{e^{3.06}}}$

Step 1.5

Combine the numerators over the common denominator.

$p = \frac{220}{\frac{e^{3.06} + 12}{e^{3.06}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$p = 220 \frac{e^{3.06}}{e^{3.06} + 12}$

Step 3

Combine $220$ and $\frac{e^{3.06}}{e^{3.06} + 12}$ .

$p = \frac{220 e^{3.06}}{e^{3.06} + 12}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = \frac{220 e^{3.06}}{e^{3.06} + 12}$

Decimal Form:

$p = 140.78627343 \dots$