What is e^{-(0.05+0.005sqrt(1+7/12))*7/12} ?

The solution to e^{-(0.05+0.005sqrt(1+7/12))*7/12} is 0.96769…

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simplify e^{-(0.05+0.005sqrt(1+7/12))*7/12}

simplify

e^{- (0.05 + 0.005 1 + \frac{7}{12}) \cdot \frac{7}{12}}

0.96769 \dots

Solution steps

e^{- (0.05 + 0.005 1 + \frac{7}{12}) \frac{7}{12}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{\frac{7}{12} (0.005 \frac{7}{12} + 1 + 0.05)}}

e^{(0.05 + 0.005 1 + \frac{7}{12}) \frac{7}{12}} = e^{0.03283 \dots}

= \frac{1}{e ^{0.03283 \dots}}

e^{0.03283 \dots} = 1.03338 \dots

= \frac{1}{1.03338 \dots}

Divide the numbers:

\frac{1}{1.03338 \dots} = 0.96769 \dots

= 0.96769 \dots

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What is e^{-(0.05+0.005sqrt(1+7/12))*7/12} ?
The solution to e^{-(0.05+0.005sqrt(1+7/12))*7/12} is 0.96769…