What is e^{-(0.4pi)/(sqrt(1-(0.4)^2))}*100 ?

The solution to e^{-(0.4pi)/(sqrt(1-(0.4)^2))}*100 is 25.38267…

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simplify e^{-(0.4pi)/(sqrt(1-(0.4)^2))}*100

simplify

e^{- \frac{0.4 π}{1 - ( 0.4 ) ^{2}}} \cdot 100

25.38267 \dots

Solution steps

e^{- \frac{0.4 π}{1 - ( 0.4 ) ^{2}}} \cdot 100

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{\frac{0.4 π}{1 - 0. 4 ^{2}}}}

1 - 0. 4^{2} = 0.84

= 100 \cdot \frac{1}{e ^{\frac{0.4 π}{0.84}}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{\frac{0.4 π}{0.84}}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{0.4 π}{0.84}}}

e^{\frac{0.4 π}{0.84}} = 3.93969 \dots

= \frac{100}{3.93969 \dots}

Divide the numbers:

\frac{100}{3.93969 \dots} = 25.38267 \dots

= 25.38267 \dots

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What is e^{-(0.4pi)/(sqrt(1-(0.4)^2))}*100 ?
The solution to e^{-(0.4pi)/(sqrt(1-(0.4)^2))}*100 is 25.38267…