What is 50e^{-0.34657*1} ?

The solution to 50e^{-0.34657*1} is 35.35546…

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simplify 50e^{-0.34657*1}

simplify

50 e^{- 0.34657 \cdot 1}

35.35546 \dots

Solution steps

50 e^{- 0.34657 \cdot 1}

Apply exponent rule:

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

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

Multiply the numbers:

0.34657 \cdot 1 = 0.34657

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.34657}}

e^{0.34657} = 1.41420 \dots

= \frac{50}{1.41420 \dots}

Divide the numbers:

\frac{50}{1.41420 \dots} = 35.35546 \dots

= 35.35546 \dots

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