Basic Math Examples

$\frac{3000}{1 + 18.3 e^{- 5.6}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{3000}{1 + 18.3 \frac{1}{e^{5.6}}}$

Step 1.2

Combine $18.3$ and $\frac{1}{e^{5.6}}$ .

$\frac{3000}{1 + \frac{18.3}{e^{5.6}}}$

Step 1.3

Replace $e$ with an approximation.

$\frac{3000}{1 + \frac{18.3}{{2.71828182}^{5.6}}}$

Step 1.4

Raise $2.71828182$ to the power of $5.6$ .

$\frac{3000}{1 + \frac{18.3}{270.42640742}}$

Step 1.5

Divide $18.3$ by $270.42640742$ .

$\frac{3000}{1 + 0.0676709}$

Step 1.6

Add $1$ and $0.0676709$ .

$\frac{3000}{1.0676709}$

Step 2

Divide $3000$ by $1.0676709$ .

$2809.85459387$