Basic Math Examples

$(31 (1 - e^{- 0.36}) + 50) \cdot 0.36$

Step 1

Simplify each term.

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Step 1.1

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

$(31 (1 - \frac{1}{e^{0.36}}) + 50) \cdot 0.36$

Step 1.2

Write $1$ as a fraction with a common denominator.

$(31 (\frac{e^{0.36}}{e^{0.36}} - \frac{1}{e^{0.36}}) + 50) \cdot 0.36$

Step 1.3

Combine the numerators over the common denominator.

$(31 \frac{e^{0.36} - 1}{e^{0.36}} + 50) \cdot 0.36$

Step 1.4

Combine $31$ and $\frac{e^{0.36} - 1}{e^{0.36}}$ .

$(\frac{31 (e^{0.36} - 1)}{e^{0.36}} + 50) \cdot 0.36$

Step 2

To write $50$ as a fraction with a common denominator, multiply by $\frac{e^{0.36}}{e^{0.36}}$ .

$(\frac{31 (e^{0.36} - 1)}{e^{0.36}} + \frac{50 e^{0.36}}{e^{0.36}}) \cdot 0.36$

Step 3

Combine the numerators over the common denominator.

$\frac{31 (e^{0.36} - 1) + 50 e^{0.36}}{e^{0.36}} \cdot 0.36$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{31 e^{0.36} + 31 \cdot - 1 + 50 e^{0.36}}{e^{0.36}} \cdot 0.36$

Step 4.2

Multiply $31$ by $- 1$ .

$\frac{31 e^{0.36} - 31 + 50 e^{0.36}}{e^{0.36}} \cdot 0.36$

Step 4.3

Add $31 e^{0.36}$ and $50 e^{0.36}$ .

$\frac{81 e^{0.36} - 31}{e^{0.36}} \cdot 0.36$

Step 5

Multiply $\frac{81 e^{0.36} - 31}{e^{0.36}} \cdot 0.36$ .

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Step 5.1

Combine $\frac{81 e^{0.36} - 31}{e^{0.36}}$ and $0.36$ .

$\frac{(81 e^{0.36} - 31) \cdot 0.36}{e^{0.36}}$

Step 5.2

Multiply $81 e^{0.36} - 31$ by $0.36$ .

$\frac{30.63588572}{e^{0.36}}$

Step 6

Replace $e$ with an approximation.

$\frac{30.63588572}{{2.71828182}^{0.36}}$

Step 7

Raise $2.71828182$ to the power of $0.36$ .

$\frac{30.63588572}{1.43332941}$

Step 8

Divide $30.63588572$ by $1.43332941$ .

$21.3739322$