What is 3e^{-0.33*11} ?

The solution to 3e^{-0.33*11} is 0.07954…

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simplify 3e^{-0.33*11}

simplify

3 e^{- 0.33 \cdot 11}

0.07954 \dots

Solution steps

3 e^{- 0.33 \cdot 11}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{11 \cdot 0.33}}

Multiply the numbers:

0.33 \cdot 11 = 3.63

= 3 \cdot \frac{1}{e ^{3.63}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{3.63}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{3.63}}

e^{3.63} = 37.71281 \dots

= \frac{3}{37.71281 \dots}

Divide the numbers:

\frac{3}{37.71281 \dots} = 0.07954 \dots

= 0.07954 \dots

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