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

The solution to (2/6)^2e^{-(2/6)} is 1/(9\sqrt[3]{e)}

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

simplify

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

Decimal Notation

0.07961 \dots

Solution steps

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

Apply exponent rule:

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

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

(\frac{2}{6})^{2} = \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}} \cdot \frac{1}{e ^{\frac{2}{6}}}

Multiply fractions:

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

Multiply the numbers:

1 \cdot 1 = 1

3^{2} = 9

2 e^{- (- 1)}

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

\frac{4}{3} π (\frac{0.16}{4 π ( 0.2 )})^{3}

1 \cdot 1 0^{- 12} (e^{\frac{0.7}{0.025}} - 1)

(4 π \cdot 8.85 \cdot 1 0^{- 12} \cdot 25 \cdot 1 0^{- 4}) \cdot 0.036

What is (2/6)^2e^{-(2/6)} ?
The solution to (2/6)^2e^{-(2/6)} is 1/(9\sqrt[3]{e)}