What is (1/6)^2e^{-(1/6)} ?

The solution to (1/6)^2e^{-(1/6)} is 1/(36\sqrt[6]{e)}

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simplify (1/6)^2e^{-(1/6)}

simplify

(\frac{1}{6})^{2} e^{- (\frac{1}{6})}

Solution steps

(\frac{1}{6})^{2} e^{- (\frac{1}{6})}

Apply exponent rule:

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

(\frac{1}{6})^{2} = \frac{1}{6 ^{2}}

Multiply fractions:

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

Multiply the numbers:

1 \cdot 1 = 1

6^{2} = 36

4 π (4 \cdot 0. 1^{3}) (e^{0. 1^{4} + 1})

- lo g_{10} (9.3) 1 0^{- 11}

\frac{d ^{2}}{d x ^{2}} ((y) (2 x e^{- x}))

(2.82 \cdot 1 0^{- 5}) (4.89 \cdot 1 0^{10})

9.79 \cdot 1 0^{- 3}

What is (1/6)^2e^{-(1/6)} ?
The solution to (1/6)^2e^{-(1/6)} is 1/(36\sqrt[6]{e)}