What is e^{-0.055*0.167}(0.08*0.48978+0.16*(1-0.48978)) ?

The solution to e^{-0.055*0.167}(0.08*0.48978+0.16*(1-0.48978)) is 0.11971…

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simplify e^{-0.0550.167}(0.080.48978+0.16*(1-0.48978))

simplify

e^{- 0.055 \cdot 0.167} (0.08 \cdot 0.48978 + 0.16 \cdot (1 - 0.48978))

0.11971 \dots

Solution steps

e^{- 0.055 \cdot 0.167} (0.08 \cdot 0.48978 + 0.16 (1 - 0.48978))

Apply exponent rule:

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

= \frac{1}{e ^{0.055 \cdot 0.167}} (0.16 (1 - 0.48978) + 0.08 \cdot 0.48978)

Multiply the numbers:

0.055 \cdot 0.167 = 0.009185

= \frac{1}{e ^{0.009185}} (0.16 (1 - 0.48978) + 0.08 \cdot 0.48978)

0.08 \cdot 0.48978 = 0.0391824

0.16 (1 - 0.48978) = 0.0816352

= \frac{1}{e ^{0.009185}} (0.0391824 + 0.0816352)

Add the numbers:

0.0391824 + 0.0816352 = 0.1208176

= 0.1208176 \cdot \frac{1}{e ^{0.009185}}

Multiply fractions:

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

= \frac{1 \cdot 0.1208176}{e ^{0.009185}}

Multiply the numbers:

1 \cdot 0.1208176 = 0.1208176

= \frac{0.1208176}{e ^{0.009185}}

e^{0.009185} = 1.00922 \dots

= \frac{0.1208176}{1.00922 \dots}

Divide the numbers:

\frac{0.1208176}{1.00922 \dots} = 0.11971 \dots

= 0.11971 \dots

(a + b) ab

e^{- x} \cdot 2 e^{- x}

6.63 \cdot 1 0^{- 34} (3 \cdot 1 0^{8})

\frac{( 1.5 \cdot 1 0 ^{4} + 50 \cdot 1 0 ^{2} )}{7.5} \cdot 1 0^{- 12}

9 a^{3}

What is e^{-0.055*0.167}(0.08*0.48978+0.16*(1-0.48978)) ?
The solution to e^{-0.055*0.167}(0.08*0.48978+0.16*(1-0.48978)) is 0.11971…