What is e^{-11/6}(1+11/6) ?

The solution to e^{-11/6}(1+11/6) is (17)/(6e^{11/6)}

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simplify e^{-11/6}(1+11/6)

simplify

e^{- \frac{11}{6}} (1 + \frac{11}{6})

\frac{17}{6 e ^{\frac{11}{6}}}

Solution steps

e^{- \frac{11}{6}} (1 + \frac{11}{6})

Apply exponent rule:

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

= \frac{1}{e ^{\frac{11}{6}}} (\frac{11}{6} + 1)

Join

1 + \frac{11}{6} : \frac{17}{6}

= \frac{17}{6} \cdot \frac{1}{e ^{\frac{11}{6}}}

Multiply fractions:

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

= \frac{1 \cdot 17}{e ^{\frac{11}{6}} \cdot 6}

Multiply the numbers:

1 \cdot 17 = 17

= \frac{17}{6 e ^{\frac{11}{6}}}

4 e^{- 0} 0

x e^{x} \cdot e^{- \frac{x}{2}}

0.5 \cdot 5

e^{- 2.5} \frac{( 2.5 ) ^{3}}{6}

What is e^{-11/6}(1+11/6) ?
The solution to e^{-11/6}(1+11/6) is (17)/(6e^{11/6)}