What is 10/9 e^{-1/10} ?

The solution to 10/9 e^{-1/10} is (10)/(9e^{1/10)}

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simplify 10/9 e^{-1/10}

simplify

\frac{10}{9} e^{- \frac{1}{10}}

\frac{10}{9 e ^{\frac{1}{10}}}

Decimal Notation

1.00537 \dots

Solution steps

\frac{10}{9} e^{- \frac{1}{10}}

Apply exponent rule:

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

= \frac{10}{9} \cdot \frac{1}{e ^{\frac{1}{10}}}

Multiply fractions:

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

= \frac{10 \cdot 1}{9 e ^{\frac{1}{10}}}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{10}{9 e ^{\frac{1}{10}}}

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