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Popular >

simplify (1/3)e^{-3(1/3)}

Solution

simplify

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

Solution

\frac{1}{3 e}

+1

Decimal Notation

0.12262 \dots

Solution steps

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

Apply exponent rule:

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

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

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

= \frac{1}{3} \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 1}{3 e}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{3 e}

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(\frac{3}{5})^{2}

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(\frac{3}{5})^{3}

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(\frac{3}{5})^{5}

Frequently Asked Questions (FAQ)

What is (1/3)e^{-3(1/3)} ?
The solution to (1/3)e^{-3(1/3)} is 1/(3e)