What is 0.8e^{-0.12*1/12} ?

The solution to 0.8e^{-0.12*1/12} is 0.79203…

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simplify 0.8e^{-0.12*1/12}

simplify

0.8 e^{- 0.12 \cdot \frac{1}{12}}

0.79203 \dots

Solution steps

0.8 e^{- 0.12 \cdot \frac{1}{12}}

Apply exponent rule:

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

= 0.8 \cdot \frac{1}{e ^{0.12 \cdot \frac{1}{12}}}

\frac{1}{e ^{0.12 \cdot \frac{1}{12}}} = \frac{1}{e ^{0.01}}

= 0.8 \cdot \frac{1}{e ^{0.01}}

Multiply fractions:

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

= \frac{1 \cdot 0.8}{e ^{0.01}}

Multiply the numbers:

1 \cdot 0.8 = 0.8

= \frac{0.8}{e ^{0.01}}

e^{0.01} = 1.01005 \dots

= \frac{0.8}{1.01005 \dots}

Divide the numbers:

\frac{0.8}{1.01005 \dots} = 0.79203 \dots

= 0.79203 \dots

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