What is 7(11)e^{-11/11} ?

The solution to 7(11)e^{-11/11} is (77)/e

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simplify 7(11)e^{-11/11}

simplify

7 (11) e^{- \frac{11}{11}}

\frac{77}{e}

Decimal Notation

28.32671 \dots

Solution steps

7 (11) e^{- \frac{11}{11}}

Apply exponent rule:

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

= 7 \cdot 11 \cdot \frac{1}{e ^{\frac{11}{11}}}

Apply rule

\frac{a}{a} = 1

\frac{11}{11} = 1

= 7 \cdot 11 \cdot \frac{1}{e ^{1}}

Apply rule

a^{1} = a

e^{1} = e

= 7 \cdot 11 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 7 \cdot 11}{e}

Multiply the numbers:

1 \cdot 7 \cdot 11 = 77

= \frac{77}{e}

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