What is 0.83*e^{-0.33(1-0.75)*32} ?

The solution to 0.83*e^{-0.33(1-0.75)*32} is 0.05922…

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simplify 0.83e^{-0.33(1-0.75)32}

simplify

0.83 \cdot e^{- 0.33 (1 - 0.75) \cdot 32}

0.05922 \dots

Solution steps

0.83 e^{- 0.33 (1 - 0.75) \cdot 32}

Apply exponent rule:

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

= 0.83 \cdot \frac{1}{e ^{32 \cdot 0.33 (1 - 0.75)}}

e^{0.33 (1 - 0.75) \cdot 32} = e^{2.64}

= 0.83 \cdot \frac{1}{e ^{2.64}}

Multiply fractions:

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

= \frac{1 \cdot 0.83}{e ^{2.64}}

Multiply the numbers:

1 \cdot 0.83 = 0.83

= \frac{0.83}{e ^{2.64}}

e^{2.64} = 14.01320 \dots

= \frac{0.83}{14.01320 \dots}

Divide the numbers:

\frac{0.83}{14.01320 \dots} = 0.05922 \dots

= 0.05922 \dots

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What is 0.83*e^{-0.33(1-0.75)*32} ?
The solution to 0.83*e^{-0.33(1-0.75)*32} is 0.05922…