What is 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi} ?

The solution to 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi} is 0.95157…

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simplify 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi}

simplify

2.71 8^{- \frac{0.0158}{1 - 0.015 8 ^{2}} \cdot π}

0.95157 \dots

Solution steps

2.71 8^{- \frac{0.0158}{1 - 0.015 8 ^{2}} π}

Apply exponent rule:

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

= \frac{1}{2.71 8 ^{π \frac{0.0158}{1 - 0.015 8 ^{2}}}}

1 - 0.015 8^{2} = 0.99975036

= \frac{1}{2.71 8 ^{π \frac{0.0158}{0.99975036}}}

2.71 8^{\frac{0.0158}{0.99975036} π} = 2.71 8^{0.04964 \dots}

= \frac{1}{2.71 8 ^{0.04964 \dots}}

2.71 8^{0.04964 \dots} = 1.05089 \dots

= \frac{1}{1.05089 \dots}

Divide the numbers:

\frac{1}{1.05089 \dots} = 0.95157 \dots

= 0.95157 \dots

e^{- (\frac{1}{2})^{2}}

e^{- \frac{6}{5}}

(4 a^{2} b^{3}) 3 a b^{2}

(\frac{1}{3} x^{4} r^{2}) (r^{2} z^{4}) (9 x^{2} z^{4})

a \cdot x

What is 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi} ?
The solution to 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi} is 0.95157…