What is 0.8e^{-3(0.5)} ?

The solution to 0.8e^{-3(0.5)} is 0.17850…

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simplify 0.8e^{-3(0.5)}

simplify

0.8 e^{- 3 (0.5)}

0.17850 \dots

Solution steps

0.8 e^{- 3 (0.5)}

Apply exponent rule:

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

= 0.8 \cdot \frac{1}{e ^{3 \cdot 0.5}}

Multiply the numbers:

3 \cdot 0.5 = 1.5

= 0.8 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 0.8}{e ^{1.5}}

Multiply the numbers:

1 \cdot 0.8 = 0.8

= \frac{0.8}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{0.8}{4.48168 \dots}

Divide the numbers:

\frac{0.8}{4.48168 \dots} = 0.17850 \dots

= 0.17850 \dots

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