What is 9sqrt(1/2)e^{-1/2} ?

The solution to 9sqrt(1/2)e^{-1/2} is 9/(2^{1/2)e^{1/2}}

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simplify 9sqrt(1/2)e^{-1/2}

simplify

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

\frac{9}{2 ^{\frac{1}{2}} e ^{\frac{1}{2}}}

Decimal Notation

3.85993 \dots

Solution steps

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

Apply exponent rule:

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

= 9 \cdot \frac{1}{e ^{\frac{1}{2}}} \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 9 \frac{1}{2}}{e ^{\frac{1}{2}}}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9 \frac{1}{2}}{e ^{\frac{1}{2}}}

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

= \frac{9 \cdot \frac{1}{2 ^{\frac{1}{2}}}}{e ^{\frac{1}{2}}}

Multiply

9 \cdot \frac{1}{2 ^{\frac{1}{2}}} : \frac{9}{2 ^{\frac{1}{2}}}

= \frac{\frac{9}{2 ^{\frac{1}{2}}}}{e ^{\frac{1}{2}}}

Apply the fraction rule:

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

= \frac{9}{2 ^{\frac{1}{2}} e ^{\frac{1}{2}}}

e^{- x} (e^{x} + 1)

(0)^{6} e^{- 0}

e^{- 3 x} \times e^{2 x}

(0.2)^{- 3} \times (3.5)^{- 3}

x x y + x

What is 9sqrt(1/2)e^{-1/2} ?
The solution to 9sqrt(1/2)e^{-1/2} is 9/(2^{1/2)e^{1/2}}