What is 0.666*e^{(-2*0.15*1.4)} ?

The solution to 0.666*e^{(-2*0.15*1.4)} is 0.43759…

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simplify 0.666e^{(-20.15*1.4)}

simplify

0.666 \cdot e^{(- 2 \cdot 0.15 \cdot 1.4)}

0.43759 \dots

Solution steps

0.666 e^{(- 2 \cdot 0.15 \cdot 1.4)}

Apply exponent rule:

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

= 0.666 \cdot \frac{1}{e ^{2 \cdot 0.15 \cdot 1.4}}

Multiply the numbers:

2 \cdot 0.15 \cdot 1.4 = 0.42

= 0.666 \cdot \frac{1}{e ^{0.42}}

Multiply fractions:

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

= \frac{1 \cdot 0.666}{e ^{0.42}}

Multiply the numbers:

1 \cdot 0.666 = 0.666

= \frac{0.666}{e ^{0.42}}

e^{0.42} = 1.52196 \dots

= \frac{0.666}{1.52196 \dots}

Divide the numbers:

\frac{0.666}{1.52196 \dots} = 0.43759 \dots

= 0.43759 \dots

\frac{1042912260 \cdot ( ( 690 - 25 ) ^{2} )}{4} \cdot 1 0^{- 14}

(8.798 \cdot 1 0^{- 28}) (3 \cdot 1 0^{8})^{2}

2.3 \cdot 1 0^{- 5} e^{(- \frac{148000}{8.314 \cdot 1173})}

What is 0.666*e^{(-2*0.15*1.4)} ?
The solution to 0.666*e^{(-2*0.15*1.4)} is 0.43759…