What is 13.761e^{-1.372*1} ?

The solution to 13.761e^{-1.372*1} is 3.48977…

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simplify 13.761e^{-1.372*1}

simplify

13.761 e^{- 1.372 \cdot 1}

3.48977 \dots

Solution steps

13.761 e^{- 1.372 \cdot 1}

Apply exponent rule:

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

= 13.761 \cdot \frac{1}{e ^{1 \cdot 1.372}}

Multiply the numbers:

1.372 \cdot 1 = 1.372

= 13.761 \cdot \frac{1}{e ^{1.372}}

Multiply fractions:

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

= \frac{1 \cdot 13.761}{e ^{1.372}}

Multiply the numbers:

1 \cdot 13.761 = 13.761

= \frac{13.761}{e ^{1.372}}

e^{1.372} = 3.94322 \dots

= \frac{13.761}{3.94322 \dots}

Divide the numbers:

\frac{13.761}{3.94322 \dots} = 3.48977 \dots

= 3.48977 \dots

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