What is 2e^{-1/2}*e^{-1/2} ?

The solution to 2e^{-1/2}*e^{-1/2} is 2/e

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simplify 2e^{-1/2}*e^{-1/2}

simplify

2 e^{- \frac{1}{2}} \cdot e^{- \frac{1}{2}}

\frac{2}{e}

Decimal Notation

0.73575 \dots

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Combine the fractions

- \frac{1}{2} - \frac{1}{2} : - 1

= 2 e^{- 1}

Apply exponent rule:

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

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

= 2 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 2}{e}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{e}

(1 + 4 x)^{- 4}

12 \cdot e^{- \frac{0}{67}}

0.033 \cdot (1.8 \cdot 1 0^{- 5})

e^{- (0.0005932145) \cdot 1685.73}