Finite Math Examples

$\frac{{2.6}^{4} {(2.71828)}^{- 2.6}}{4!}$

Step 1

Simplify the expression.

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Step 1.1

Move ${(2.71828)}^{- 2.6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{{2.6}^{4}}{4! \cdot {2.71828}^{2.6}}$

Step 1.2

Raise $2.6$ to the power of $4$ .

$\frac{45.6976}{4! \cdot {2.71828}^{2.6}}$

Step 2

Simplify the denominator.

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Step 2.1

Expand $4!$ to $4 \cdot 3 \cdot 2 \cdot 1$ .

$\frac{45.6976}{4 \cdot 3 \cdot 2 \cdot 1 \cdot {2.71828}^{2.6}}$

Step 2.2

Multiply $4 \cdot 3 \cdot 2 \cdot 1$ .

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Step 2.2.1

Multiply $4$ by $3$ .

$\frac{45.6976}{12 \cdot 2 \cdot 1 \cdot {2.71828}^{2.6}}$

Step 2.2.2

Multiply $12$ by $2$ .

$\frac{45.6976}{24 \cdot 1 \cdot {2.71828}^{2.6}}$

Step 2.2.3

Multiply $24$ by $1$ .

$\frac{45.6976}{24 \cdot {2.71828}^{2.6}}$

Step 2.3

Raise $2.71828$ to the power of $2.6$ .

$\frac{45.6976}{24 \cdot 13.46371448}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $24$ by $13.46371448$ .

$\frac{45.6976}{323.12914771}$

Step 3.2

Divide $45.6976$ by $323.12914771$ .

$0.14142209$