Basic Math Examples

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

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

Step 1

Simplify the denominator.

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Step 1.1

Multiply

- 0.51

$- 0.51$ by

6

$6$ .

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

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

Step 1.2

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

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

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

Step 1.3

Combine

12

$12$ and

\frac{1}{e^{3.06}}

$\frac{1}{e^{3.06}}$ .

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

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

Step 1.4

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.5

Combine the numerators over the common denominator.

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

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

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

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 3

Combine

220

$220$ and

\frac{e^{3.06}}{e^{3.06} + 12}

$\frac{e^{3.06}}{e^{3.06} + 12}$ .

p = \frac{220 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}

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

Decimal Form:

p = 140.78627343 \dots

$p = 140.78627343 \dots$