What is 20*e^{-0.8(3.8)} ?

The solution to 20*e^{-0.8(3.8)} is 0.95669…

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simplify 20*e^{-0.8(3.8)}

simplify

20 \cdot e^{- 0.8 (3.8)}

0.95669 \dots

Solution steps

20 e^{- 0.8 (3.8)}

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{0.8 \cdot 3.8}}

Multiply the numbers:

0.8 \cdot 3.8 = 3.04

= 20 \cdot \frac{1}{e ^{3.04}}

Multiply fractions:

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

= \frac{1 \cdot 20}{e ^{3.04}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{e ^{3.04}}

e^{3.04} = 20.90524 \dots

= \frac{20}{20.90524 \dots}

Divide the numbers:

\frac{20}{20.90524 \dots} = 0.95669 \dots

= 0.95669 \dots

200 \cdot e^{- 0.086 \cdot 30}

e^{- 1} \cdot ln (e^{- 1})

4.9 \cdot 1 0^{- 7}

(5 x^{3} y^{4}) (20 x^{7} y^{8})

14 e^{- 0.02 (8)} \cdot (- 0.02)