What is 50e^{-0.34657*2} ?

The solution to 50e^{-0.34657*2} is 25.00017…

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simplify 50e^{-0.34657*2}

simplify

50 e^{- 0.34657 \cdot 2}

25.00017 \dots

Solution steps

50 e^{- 0.34657 \cdot 2}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{2 \cdot 0.34657}}

Multiply the numbers:

0.34657 \cdot 2 = 0.69314

= 50 \cdot \frac{1}{e ^{0.69314}}

Multiply fractions:

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

= \frac{1 \cdot 50}{e ^{0.69314}}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e ^{0.69314}}

e^{0.69314} = 1.99998 \dots

= \frac{50}{1.99998 \dots}

Divide the numbers:

\frac{50}{1.99998 \dots} = 25.00017 \dots

= 25.00017 \dots

8.913 x 1 0^{- 1}

30 \cdot 1 0^{- 2} \cdot 162.86

18 \cdot e^{- \frac{1.8}{386}}

(7 a^{3}) (2 a)

50 e^{- 0.34657 \cdot 1}