What is 2*0.6*0.4^2*75*e^{-0.3} ?

The solution to 2*0.6*0.4^2*75*e^{-0.3} is 10.66778…

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simplify 20.60.4^275e^{-0.3}

simplify

2 \cdot 0.6 \cdot 0. 4^{2} \cdot 75 \cdot e^{- 0.3}

10.66778 \dots

Solution steps

2 \cdot 0.6 \cdot 0. 4^{2} \cdot 75 e^{- 0.3}

Apply exponent rule:

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

= 2 \cdot 75 \cdot 0. 4^{2} \cdot 0.6 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= 0.6 \cdot \frac{1 \cdot 2 \cdot 75 \cdot 0. 4 ^{2}}{e ^{0.3}}

\frac{1 \cdot 2 \cdot 0. 4 ^{2} \cdot 75}{e ^{0.3}} = 17.77963 \dots

= 0.6 \cdot 17.77963 \dots

Multiply the numbers:

0.6 \cdot 17.77963 \dots = 10.66778 \dots

= 10.66778 \dots

(- x + 1) e^{- x}

e^{- x} (C^{1} cos (2 x) + C^{2} sin (2 x))

3 e^{(- 3 (1))}

2.05 \cdot 1 0^{- 8}

e^{4 x} \cdot e^{2 x + 1}

What is 2*0.6*0.4^2*75*e^{-0.3} ?
The solution to 2*0.6*0.4^2*75*e^{-0.3} is 10.66778…