What is e^{-0.05*1}(0.6282*0+(1-0.6282)4) ?

The solution to e^{-0.05*1}(0.6282*0+(1-0.6282)4) is 1.41466…

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simplify e^{-0.051}(0.62820+(1-0.6282)4)

simplify

e^{- 0.05 \cdot 1} (0.6282 \cdot 0 + (1 - 0.6282) 4)

1.41466 \dots

Solution steps

e^{- 0.05 \cdot 1} (0.6282 \cdot 0 + (1 - 0.6282) \cdot 4)

Apply exponent rule:

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

= \frac{1}{e ^{1 \cdot 0.05}} (4 (1 - 0.6282) + 0 \cdot 0.6282)

Multiply the numbers:

0.05 \cdot 1 = 0.05

= \frac{1}{e ^{0.05}} (4 (1 - 0.6282) + 0 \cdot 0.6282)

0.6282 \cdot 0 = 0

(1 - 0.6282) \cdot 4 = 1.4872

= \frac{1}{e ^{0.05}} (0 + 1.4872)

Add the numbers:

0 + 1.4872 = 1.4872

= 1.4872 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 1.4872}{e ^{0.05}}

Multiply the numbers:

1 \cdot 1.4872 = 1.4872

= \frac{1.4872}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{1.4872}{1.05127 \dots}

Divide the numbers:

\frac{1.4872}{1.05127 \dots} = 1.41466 \dots

= 1.41466 \dots

- 2 x y^{3} (6 x^{2} y^{2})

e^{- 38}

(3 - \frac{x ^{2}}{2})^{- 3}

2 7^{x + 2}

What is e^{-0.05*1}(0.6282*0+(1-0.6282)4) ?
The solution to e^{-0.05*1}(0.6282*0+(1-0.6282)4) is 1.41466…