What is 50e^{-0.34657*9} ?

The solution to 50e^{-0.34657*9} is 2.20978…

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simplify 50e^{-0.34657*9}

simplify

50 e^{- 0.34657 \cdot 9}

2.20978 \dots

Solution steps

50 e^{- 0.34657 \cdot 9}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{9 \cdot 0.34657}}

Multiply the numbers:

0.34657 \cdot 9 = 3.11913

= 50 \cdot \frac{1}{e ^{3.11913}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{3.11913}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{3.11913}}

e^{3.11913} = 22.62668 \dots

= \frac{50}{22.62668 \dots}

Divide the numbers:

\frac{50}{22.62668 \dots} = 2.20978 \dots

= 2.20978 \dots

1016882.19 \cdot 1 0^{- 6}

0.067 \cdot 1 0^{- 6} m

100 e^{- 0.02 \cdot 60}

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