What is 1/(0.03679)e^{-1} ?

The solution to 1/(0.03679)e^{-1} is 9.99944…

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simplify 1/(0.03679)e^{-1}

simplify

\frac{1}{0.03679} e^{- 1}

9.99944 \dots

Solution steps

\frac{1}{0.03679} e^{- 1}

Apply exponent rule:

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

= \frac{1}{e} \cdot \frac{1}{0.03679}

Multiply fractions:

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

= \frac{1 \cdot 1}{0.03679 e}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{0.03679 e}

Multiply the numbers:

0.03679 \cdot 2.71828 \dots = 0.10000 \dots

= \frac{1}{0.10000 \dots}

Divide the numbers:

\frac{1}{0.10000 \dots} = 9.99944 \dots

= 9.99944 \dots

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