What is e^{-(pi/(sqrt(1-0.403^2)))}*100 ?

The solution to e^{-(pi/(sqrt(1-0.403^2)))}*100 is 3.23001…

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simplify e^{-(pi/(sqrt(1-0.403^2)))}*100

simplify

e^{- (\frac{π}{1 - 0.40 3 ^{2}})} \cdot 100

3.23001 \dots

Solution steps

e^{- (\frac{π}{1 - 0.40 3 ^{2}})} \cdot 100

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{\frac{π}{1 - 0.40 3 ^{2}}}}

1 - 0.40 3^{2} = 0.837591

= 100 \cdot \frac{1}{e ^{\frac{π}{0.837591}}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{\frac{π}{0.837591}}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{π}{0.837591}}}

e^{\frac{π}{0.837591}} = 30.95963 \dots

= \frac{100}{30.95963 \dots}

Divide the numbers:

\frac{100}{30.95963 \dots} = 3.23001 \dots

= 3.23001 \dots

4.4 x 1 0^{- 9}

e^{- s t} (t - 3)

(2 yz) (2 x^{2} y z^{3})

3.2 \cdot 1 0^{- 10}

\frac{2}{7} \cdot 7

What is e^{-(pi/(sqrt(1-0.403^2)))}*100 ?
The solution to e^{-(pi/(sqrt(1-0.403^2)))}*100 is 3.23001…