Trigonometry Examples

$\frac{107000}{1 + 4200 e^{- (4)}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 1$ by $4$ .

$\frac{107000}{1 + 4200 e^{- 4}}$

Step 1.2

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

$\frac{107000}{1 + 4200 \frac{1}{e^{4}}}$

Step 1.3

Combine $4200$ and $\frac{1}{e^{4}}$ .

$\frac{107000}{1 + \frac{4200}{e^{4}}}$

Step 1.4

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

$\frac{107000}{\frac{e^{4}}{e^{4}} + \frac{4200}{e^{4}}}$

Step 1.5

Combine the numerators over the common denominator.

$\frac{107000}{\frac{e^{4} + 4200}{e^{4}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$107000 \frac{e^{4}}{e^{4} + 4200}$

Step 3

Combine $107000$ and $\frac{e^{4}}{e^{4} + 4200}$ .

$\frac{107000 e^{4}}{e^{4} + 4200}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{107000 e^{4}}{e^{4} + 4200}$

Decimal Form:

$1373.10313395 \dots$