What is (2/356)^2*e^{-356(2/356)} ?

The solution to (2/356)^2*e^{-356(2/356)} is 1/(31684e^2)

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simplify (2/356)^2*e^{-356(2/356)}

simplify

(\frac{2}{356})^{2} \cdot e^{- 356 (\frac{2}{356})}

\frac{1}{31684 e ^{2}}

Decimal Notation

4.27141 E - 6

Solution steps

(\frac{2}{356})^{2} e^{- 356 (\frac{2}{356})}

Apply exponent rule:

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

= (\frac{2}{356})^{2} \frac{1}{e ^{356 \cdot \frac{2}{356}}}

(\frac{2}{356})^{2} = \frac{1}{17 8 ^{2}}

= \frac{1}{17 8 ^{2}} \cdot \frac{1}{e ^{356 \cdot \frac{2}{356}}}

\frac{1}{e ^{356 \cdot \frac{2}{356}}} = \frac{1}{e ^{2}}

= \frac{1}{e ^{2}} \cdot \frac{1}{17 8 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1}{17 8 ^{2} e ^{2}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{17 8 ^{2} e ^{2}}

17 8^{2} = 31684

= \frac{1}{31684 e ^{2}}

e^{- 4 x} sin (2 x)

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

e^{- t} \frac{1}{3} sin (3 t)

What is (2/356)^2*e^{-356(2/356)} ?
The solution to (2/356)^2*e^{-356(2/356)} is 1/(31684e^2)