What is 0.5e^{-0.1*2/12} ?

The solution to 0.5e^{-0.1*2/12} is 0.49173…

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simplify 0.5e^{-0.1*2/12}

simplify

0.5 e^{- 0.1 \cdot \frac{2}{12}}

0.49173 \dots

Solution steps

0.5 e^{- 0.1 \cdot \frac{2}{12}}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{0.1 \cdot \frac{2}{12}}}

\frac{1}{e ^{0.1 \cdot \frac{2}{12}}} = \frac{1}{e ^{0.01666 \dots}}

= 0.5 \cdot \frac{1}{e ^{0.01666 \dots}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 0.5}{e ^{0.01666 \dots}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{0.01666 \dots}}

e^{0.01666 \dots} = 1.01680 \dots

= \frac{0.5}{1.01680 \dots}

Divide the numbers:

\frac{0.5}{1.01680 \dots} = 0.49173 \dots

= 0.49173 \dots

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