What is e^{-1/(0.75)}*(1-e^{-1/(0.75)})^4 ?

The solution to e^{-1/(0.75)}*(1-e^{-1/(0.75)})^4 is 0.07751…

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simplify e^{-1/(0.75)}*(1-e^{-1/(0.75)})^4

simplify

e^{- \frac{1}{0.75}} \cdot (1 - e^{- \frac{1}{0.75}})^{4}

0.07751 \dots

Solution steps

e^{- \frac{1}{0.75}} (1 - e^{- \frac{1}{0.75}})^{4}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{0.75}}} (- e^{- \frac{1}{0.75}} + 1)^{4}

(1 - e^{- \frac{1}{0.75}})^{4} = 0.73640 \dots^{4}

= 0.73640 \dots^{4} \cdot \frac{1}{e ^{\frac{1}{0.75}}}

Multiply fractions:

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

= \frac{1 \cdot 0.73640 \dots ^{4}}{e ^{\frac{1}{0.75}}}

Multiply:

1 \cdot 0.73640 \dots^{4} = 0.73640 \dots^{4}

= \frac{0.73640 \dots ^{4}}{e ^{\frac{1}{0.75}}}

0.73640 \dots^{4} = 0.29407 \dots

= \frac{0.29407 \dots}{e ^{\frac{1}{0.75}}}

e^{\frac{1}{0.75}} = 3.79366 \dots

= \frac{0.29407 \dots}{3.79366 \dots}

Divide the numbers:

\frac{0.29407 \dots}{3.79366 \dots} = 0.07751 \dots

= 0.07751 \dots

1000 \cdot 501.72 \cdot 1 0^{- 6}

(\frac{50}{1.388 \cdot 1 0 ^{- 2}}) \cdot 1 0^{- 6}

(3 x^{2} y^{4}) (4 x y^{2})

5.7 \cdot 1 0^{- 6}

1.704 \cdot 0.0274 \cdot 0.02 6^{3}

What is e^{-1/(0.75)}*(1-e^{-1/(0.75)})^4 ?
The solution to e^{-1/(0.75)}*(1-e^{-1/(0.75)})^4 is 0.07751…