Basic Math Examples

${0.7}^{2} (e^{- 0.7}) \div 2!$

Step 1

Rewrite the division as a fraction.

$\frac{{0.7}^{2} (e^{- 0.7})}{2!}$

Step 2

Simplify the expression.

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Step 2.1

Move $e^{- 0.7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{0.7}^{2}}{2! e^{0.7}}$

Step 2.2

Raise $0.7$ to the power of $2$ .

$\frac{0.49}{2! e^{0.7}}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{0.49}{2 \cdot 1 e^{0.7}}$

Step 3.2

Multiply $2$ by $1$ .

$\frac{0.49}{2 e^{0.7}}$

Step 4

Replace $e$ with an approximation.

$\frac{0.49}{2 \cdot {2.71828182}^{0.7}}$

Step 5

Raise $2.71828182$ to the power of $0.7$ .

$\frac{0.49}{2 \cdot 2.0137527}$

Step 6

Multiply $2$ by $2.0137527$ .

$\frac{0.49}{4.02750541}$

Step 7

Divide $0.49$ by $4.02750541$ .

$0.12166339$