What is 100e^{-0.34657(2)} ?

The solution to 100e^{-0.34657(2)} is 50.00035…

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simplify 100e^{-0.34657(2)}

simplify

100 e^{- 0.34657 (2)}

50.00035 \dots

Solution steps

100 e^{- 0.34657 (2)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{2 \cdot 0.34657}}

Multiply the numbers:

0.34657 \cdot 2 = 0.69314

= 100 \cdot \frac{1}{e ^{0.69314}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.69314}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.69314}}

e^{0.69314} = 1.99998 \dots

= \frac{100}{1.99998 \dots}

Divide the numbers:

\frac{100}{1.99998 \dots} = 50.00035 \dots

= 50.00035 \dots

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