What is 1e^{-0.1*5/12} ?

The solution to 1e^{-0.1*5/12} is 0.95918…

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simplify 1e^{-0.1*5/12}

simplify

1 e^{- 0.1 \cdot \frac{5}{12}}

0.95918 \dots

Solution steps

1 \cdot e^{- 0.1 \cdot \frac{5}{12}}

Apply exponent rule:

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

= 1 \cdot \frac{1}{e ^{0.1 \cdot \frac{5}{12}}}

\frac{1}{e ^{0.1 \cdot \frac{5}{12}}} = \frac{1}{e ^{0.04166 \dots}}

= 1 \cdot \frac{1}{e ^{0.04166 \dots}}

Multiply:

1 \cdot \frac{1}{e ^{0.04166 \dots}} = \frac{1}{e ^{0.04166 \dots}}

= \frac{1}{e ^{0.04166 \dots}}

e^{0.04166 \dots} = 1.04254 \dots

= \frac{1}{1.04254 \dots}

Divide the numbers:

\frac{1}{1.04254 \dots} = 0.95918 \dots

= 0.95918 \dots

6.53 \cdot 1 0^{- 4} \cdot 42.3

418

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