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

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

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

simplify

100 e^{- \frac{0.4 π}{1 - 0. 4 ^{2}}}

25.38267 \dots

Solution steps

100 e^{- \frac{0.4 π}{1 - 0. 4 ^{2}}}

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

x^{140} \cdot e^{- 0.367 \cdot x}

- \frac{π}{2} e^{- 3 (0.1)}

((- 7)^{3})^{3}

e^{- 0.5004}

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