Basic Math Examples

$\frac{e^{- 1.068} \cdot {1.068}^{2}}{2!}$

Step 1

Simplify the expression.

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Step 1.1

Move $e^{- 1.068}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{1.068}^{2}}{2! e^{1.068}}$

Step 1.2

Raise $1.068$ to the power of $2$ .

$\frac{1.140624}{2! e^{1.068}}$

Step 2

Simplify the denominator.

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Step 2.1

Expand $2!$ to $2 \cdot 1$ .

$\frac{1.140624}{2 \cdot 1 e^{1.068}}$

Step 2.2

Multiply $2$ by $1$ .

$\frac{1.140624}{2 e^{1.068}}$

Step 3

Replace $e$ with an approximation.

$\frac{1.140624}{2 \cdot {2.71828182}^{1.068}}$

Step 4

Raise $2.71828182$ to the power of $1.068$ .

$\frac{1.140624}{2 \cdot 2.90955456}$

Step 5

Multiply $2$ by $2.90955456$ .

$\frac{1.140624}{5.81910913}$

Step 6

Divide $1.140624$ by $5.81910913$ .

$0.1960135$