What is 2.5*e^{-2.5*0.62} ?

The solution to 2.5*e^{-2.5*0.62} is 0.53061…

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simplify 2.5e^{-2.50.62}

simplify

2.5 \cdot e^{- 2.5 \cdot 0.62}

0.53061 \dots

Solution steps

2.5 e^{- 2.5 \cdot 0.62}

Apply exponent rule:

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

= 2.5 \cdot \frac{1}{e ^{0.62 \cdot 2.5}}

Multiply the numbers:

2.5 \cdot 0.62 = 1.55

= 2.5 \cdot \frac{1}{e ^{1.55}}

Multiply fractions:

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

= \frac{1 \cdot 2.5}{e ^{1.55}}

Multiply the numbers:

1 \cdot 2.5 = 2.5

= \frac{2.5}{e ^{1.55}}

e^{1.55} = 4.71147 \dots

= \frac{2.5}{4.71147 \dots}

Divide the numbers:

\frac{2.5}{4.71147 \dots} = 0.53061 \dots

= 0.53061 \dots

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