What is e^{-(pi/(sqrt(1-0.5^2)))}*100 ?

The solution to e^{-(pi/(sqrt(1-0.5^2)))}*100 is 2.65799…

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simplify e^{-(pi/(sqrt(1-0.5^2)))}*100

simplify

e^{- (\frac{π}{1 - 0. 5 ^{2}})} \cdot 100

2.65799 \dots

Solution steps

e^{- (\frac{π}{1 - 0. 5 ^{2}})} \cdot 100

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{\frac{π}{1 - 0. 5 ^{2}}}}

1 - 0. 5^{2} = 0.75

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{π}{0.75}}}

e^{\frac{π}{0.75}} = 37.62236 \dots

= \frac{100}{37.62236 \dots}

Divide the numbers:

\frac{100}{37.62236 \dots} = 2.65799 \dots

= 2.65799 \dots

50 e^{- x}

(- 2) (200)^{- 3} (0.01)

3 (17)^{6} \cdot (e)^{- \frac{102}{8}}

(0.005 θ^{2}) (0.01 θ)

e^{- (95 - 100)}

What is e^{-(pi/(sqrt(1-0.5^2)))}*100 ?
The solution to e^{-(pi/(sqrt(1-0.5^2)))}*100 is 2.65799…