What is e^{-((0.75pi)/(sqrt(1-0.75^2)))}*100 ?

The solution to e^{-((0.75pi)/(sqrt(1-0.75^2)))}*100 is 2.83754…

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simplify e^{-((0.75pi)/(sqrt(1-0.75^2)))}*100

simplify

e^{- (\frac{0.75 π}{1 - 0.7 5 ^{2}})} \cdot 100

2.83754 \dots

Solution steps

e^{- (\frac{0.75 π}{1 - 0.7 5 ^{2}})} \cdot 100

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{\frac{0.75 π}{1 - 0.7 5 ^{2}}}}

1 - 0.7 5^{2} = 0.4375

= 100 \cdot \frac{1}{e ^{\frac{0.75 π}{0.4375}}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{\frac{0.75 π}{0.4375}}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{0.75 π}{0.4375}}}

e^{\frac{0.75 π}{0.4375}} = 35.24174 \dots

= \frac{100}{35.24174 \dots}

Divide the numbers:

\frac{100}{35.24174 \dots} = 2.83754 \dots

= 2.83754 \dots

(x - 1) (x - 2)

e^{(- 0.75)}

10^{4}

(s - 2)^{2} (s + 3)^{2}

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

What is e^{-((0.75pi)/(sqrt(1-0.75^2)))}*100 ?
The solution to e^{-((0.75pi)/(sqrt(1-0.75^2)))}*100 is 2.83754…