What is 60e^{-0.00041*100} ?

The solution to 60e^{-0.00041*100} is 57.58974…

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simplify 60e^{-0.00041*100}

simplify

60 e^{- 0.00041 \cdot 100}

57.58974 \dots

Solution steps

60 e^{- 0.00041 \cdot 100}

Apply exponent rule:

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

= 60 \cdot \frac{1}{e ^{100 \cdot 0.00041}}

Multiply the numbers:

0.00041 \cdot 100 = 0.041

= 60 \cdot \frac{1}{e ^{0.041}}

Multiply fractions:

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

= \frac{1 \cdot 60}{e ^{0.041}}

Multiply the numbers:

1 \cdot 60 = 60

= \frac{60}{e ^{0.041}}

e^{0.041} = 1.04185 \dots

= \frac{60}{1.04185 \dots}

Divide the numbers:

\frac{60}{1.04185 \dots} = 57.58974 \dots

= 57.58974 \dots

- e^{- 1} (2)

e^{- α x^{2}}

\frac{1}{2} e^{x} \cdot e^{3 x}

e^{- 3} e^{x}