Basic Math Examples

$\frac{1900}{1 + 4.88 e^{- 0.05579 \cdot 10}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 0.05579$ by $10$ .

$\frac{1900}{1 + 4.88 e^{- 0.5579}}$

Step 1.2

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

$\frac{1900}{1 + 4.88 \frac{1}{e^{0.5579}}}$

Step 1.3

Combine $4.88$ and $\frac{1}{e^{0.5579}}$ .

$\frac{1900}{1 + \frac{4.88}{e^{0.5579}}}$

Step 1.4

Replace $e$ with an approximation.

$\frac{1900}{1 + \frac{4.88}{{2.71828182}^{0.5579}}}$

Step 1.5

Raise $2.71828182$ to the power of $0.5579$ .

$\frac{1900}{1 + \frac{4.88}{1.74699994}}$

Step 1.6

Divide $4.88$ by $1.74699994$ .

$\frac{1900}{1 + 2.79336013}$

Step 1.7

Add $1$ and $2.79336013$ .

$\frac{1900}{3.79336013}$

Step 2

Divide $1900$ by $3.79336013$ .

$500.87519599$