What is 2/(3!)e^{-2} ?

The solution to 2/(3!)e^{-2} is 1/(3e^2)

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Popular >

simplify 2/(3!)e^{-2}

simplify

\frac{2}{3 !} e^{- 2}

\frac{1}{3 e ^{2}}

Decimal Notation

0.04511 \dots

Solution steps

\frac{2}{3 !} e^{- 2}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

2 \cdot 1 = 2

= \frac{2}{e ^{2} \cdot 3 !}

3! e^{2} = 6 e^{2}

= \frac{2}{6 e ^{2}}

Cancel the common factor:

2

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

(sin (t) - 3 cos (t)) e^{- 2 π t}

\frac{1}{10000 π \cdot 1 0 ^{- 8}} \cdot 560 \cdot 1 0^{- 6}

(e^{2 y})^{2}

(7.8 \cdot 1 0^{- 1}) (1.808 \cdot 1 0^{- 9})