What is 0.5*e^{-1*0.5*5} ?

The solution to 0.5*e^{-1*0.5*5} is 0.04104…

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simplify 0.5e^{-10.5*5}

simplify

0.5 \cdot e^{- 1 \cdot 0.5 \cdot 5}

0.04104 \dots

Solution steps

0.5 e^{- 1 \cdot 0.5 \cdot 5}

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{e ^{1 \cdot 5 \cdot 0.5}}

Multiply the numbers:

1 \cdot 0.5 \cdot 5 = 2.5

= 0.5 \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

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

= \frac{1 \cdot 0.5}{e ^{2.5}}

Multiply the numbers:

1 \cdot 0.5 = 0.5

= \frac{0.5}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{0.5}{12.18249 \dots}

Divide the numbers:

\frac{0.5}{12.18249 \dots} = 0.04104 \dots

= 0.04104 \dots

- 2.18 \cdot 1 0^{- 18} (\frac{1}{1} - \frac{1}{9})

0.089 \cdot 1 0^{- 6} \frac{2.5}{1.9635 E - 7}

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7.6 x 1 0^{- 2}

40912380.4911 \cdot 1 0^{- 3.92}