What is sqrt(1/2)e^{-1/2} ?

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

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simplify sqrt(1/2)e^{-1/2}

simplify

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

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

Decimal Notation

0.42888 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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

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

Apply the fraction rule:

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

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

e^{- 8} (1 - \frac{25}{2})

(20 + 421)^{2}

e^{- (0.00473) (44)}

2 e^{- 2 t} cos (2 t)

e^{1.9}

What is sqrt(1/2)e^{-1/2} ?
The solution to sqrt(1/2)e^{-1/2} is 1/(2^{1/2)e^{1/2}}