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Popular >

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

Solution

simplify

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

Solution

\frac{1}{3 e}

+1

Decimal Notation

0.12262 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

\frac{a}{a} = 1

\frac{3}{3} = 1

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

Apply rule

a^{1} = a

e^{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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Frequently Asked Questions (FAQ)

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