Basic Math Examples

$\frac{e^{- \frac{67 (1000)}{8.31446} \cdot (\frac{1}{75 + 273.15} - \frac{1}{167 + 273.15})}}{11}$

Step 1

Simplify the expression.

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Step 1.1

Move $e^{- \frac{67 (1000)}{8.31446} \cdot (\frac{1}{75 + 273.15} - \frac{1}{167 + 273.15})}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{11 e^{\frac{67 \cdot 1000}{8.31446} \cdot (\frac{1}{75 + 273.15} - \frac{1}{167 + 273.15})}}$

Step 1.2

Multiply $67$ by $1000$ .

$\frac{1}{11 e^{\frac{67000}{8.31446} \cdot (\frac{1}{75 + 273.15} - \frac{1}{167 + 273.15})}}$

Step 1.3

Add $75$ and $273.15$ .

$\frac{1}{11 e^{\frac{67000}{8.31446} \cdot (\frac{1}{348.15} - \frac{1}{167 + 273.15})}}$

Step 1.4

Add $167$ and $273.15$ .

$\frac{1}{11 e^{\frac{67000}{8.31446} \cdot (\frac{1}{348.15} - \frac{1}{440.15})}}$

Step 2

Simplify the denominator.

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Step 2.1

Divide $67000$ by $8.31446$ .

$\frac{1}{11 e^{8058.25032533 \cdot (\frac{1}{348.15} - \frac{1}{440.15})}}$

Step 2.2

Simplify each term.

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Step 2.2.1

Divide $1$ by $348.15$ .

$\frac{1}{11 e^{8058.25032533 \cdot (0.00287232 - \frac{1}{440.15})}}$

Step 2.2.2

Divide $1$ by $440.15$ .

$\frac{1}{11 e^{8058.25032533 \cdot (0.00287232 - 1 \cdot 0.00227195)}}$

Step 2.2.3

Multiply $- 1$ by $0.00227195$ .

$\frac{1}{11 e^{8058.25032533 \cdot (0.00287232 - 0.00227195)}}$

Step 2.3

Subtract $0.00227195$ from $0.00287232$ .

$\frac{1}{11 e^{8058.25032533 \cdot 0.00060037}}$

Step 2.4

Multiply $8058.25032533$ by $0.00060037$ .

$\frac{1}{11 e^{4.83795111}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{11 e^{4.83795111}}$

Decimal Form:

$0.00072029 \dots$