What is 50e^{-0.34657*4} ?

The solution to 50e^{-0.34657*4} is 12.50017…

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simplify 50e^{-0.34657*4}

simplify

50 e^{- 0.34657 \cdot 4}

12.50017 \dots

Solution steps

50 e^{- 0.34657 \cdot 4}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{4 \cdot 0.34657}}

Multiply the numbers:

0.34657 \cdot 4 = 1.38628

= 50 \cdot \frac{1}{e ^{1.38628}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{1.38628}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{1.38628}}

e^{1.38628} = 3.99994 \dots

= \frac{50}{3.99994 \dots}

Divide the numbers:

\frac{50}{3.99994 \dots} = 12.50017 \dots

= 12.50017 \dots

x e^{- 3 x} (3 x e^{3 x})

\frac{e ^{3 x}}{e ^{7 x}}

6.2 \cdot 1 0^{- 1}