What is e^{-0.08}(20(e^{0.08}-0.73)/(1.46-0.73)) ?

The solution to e^{-0.08}(20(e^{0.08}-0.73)/(1.46-0.73)) is 8.93493…

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simplify e^{-0.08}(20(e^{0.08}-0.73)/(1.46-0.73))

simplify

e^{- 0.08} (20 \frac{e ^{0.08} - 0.73}{1.46 - 0.73})

8.93493 \dots

Solution steps

e^{- 0.08} (20 \cdot \frac{e ^{0.08} - 0.73}{1.46 - 0.73})

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{0.08}} \cdot \frac{e ^{0.08} - 0.73}{1.46 - 0.73}

\frac{e ^{0.08} - 0.73}{1.46 - 0.73} = \frac{0.35328 \dots}{0.73}

= 20 \cdot \frac{1}{e ^{0.08}} \cdot \frac{0.35328 \dots}{0.73}

Multiply fractions:

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

= \frac{1 \cdot 0.35328 \dots \cdot 20}{e ^{0.08} \cdot 0.73}

Multiply the numbers:

1 \cdot 0.35328 \dots \cdot 20 = 7.06574 \dots

= \frac{7.06574 \dots}{0.73 e ^{0.08}}

e^{0.08} = 1.08328 \dots

= \frac{7.06574 \dots}{0.73 \cdot 1.08328 \dots}

Multiply the numbers:

1.08328 \dots \cdot 0.73 = 0.79079 \dots

= \frac{7.06574 \dots}{0.79079 \dots}

Divide the numbers:

\frac{7.06574 \dots}{0.79079 \dots} = 8.93493 \dots

= 8.93493 \dots

(69)^{2}

(\frac{2}{5})^{3} l e f t (\frac{2}{5})^{2}

\frac{( 2.567 \cdot 28 ) ^{2}}{1 ^{2}}

e^{- t^{0.8}}

(- 2)^{2} \cdot e^{- 2}

What is e^{-0.08}(20(e^{0.08}-0.73)/(1.46-0.73)) ?
The solution to e^{-0.08}(20(e^{0.08}-0.73)/(1.46-0.73)) is 8.93493…