What is 0.9025*e^{-0.3321*2} ?

The solution to 0.9025*e^{-0.3321*2} is 0.46450…

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simplify 0.9025e^{-0.33212}

simplify

0.9025 \cdot e^{- 0.3321 \cdot 2}

0.46450 \dots

Solution steps

0.9025 e^{- 0.3321 \cdot 2}

Apply exponent rule:

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

= 0.9025 \cdot \frac{1}{e ^{2 \cdot 0.3321}}

Multiply the numbers:

0.3321 \cdot 2 = 0.6642

= 0.9025 \cdot \frac{1}{e ^{0.6642}}

Multiply fractions:

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

= \frac{1 \cdot 0.9025}{e ^{0.6642}}

Multiply the numbers:

1 \cdot 0.9025 = 0.9025

= \frac{0.9025}{e ^{0.6642}}

e^{0.6642} = 1.94293 \dots

= \frac{0.9025}{1.94293 \dots}

Divide the numbers:

\frac{0.9025}{1.94293 \dots} = 0.46450 \dots

= 0.46450 \dots

\frac{3 ^{2}}{2 !} 2.718 2^{- 3}

25 e^{- \frac{2}{3}}

- 1.223161 \cdot 1 0^{- 2}

6

e^{- 5.1481} \cdot 100