Basic Math Examples

$\frac{e^{- 0.564} \cdot {0.564}^{2}}{2!}$

Step 1

Simplify the expression.

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Step 1.1

Move $e^{- 0.564}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{0.564}^{2}}{2! e^{0.564}}$

Step 1.2

Raise $0.564$ to the power of $2$ .

$\frac{0.318096}{2! e^{0.564}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{0.318096}{2 \cdot 1 e^{0.564}}$

Step 2.2

Multiply $2$ by $1$ .

$\frac{0.318096}{2 e^{0.564}}$

Step 3

Replace $e$ with an approximation.

$\frac{0.318096}{2 \cdot {2.71828182}^{0.564}}$

Step 4

Raise $2.71828182$ to the power of $0.564$ .

$\frac{0.318096}{2 \cdot 1.75768921}$

Step 5

Multiply $2$ by $1.75768921$ .

$\frac{0.318096}{3.51537842}$

Step 6

Divide $0.318096$ by $3.51537842$ .

$0.09048698$