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

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

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simplify a(1/(2b))e^{-b(1/(2b))}

simplify

a (\frac{1}{2 b}) e^{- b (\frac{1}{2 b})}

\frac{a}{2 e b}

Solution steps

a (\frac{1}{2 b}) e^{- b (\frac{1}{2 b})}

Apply exponent rule:

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

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

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

= \frac{1}{e} a \frac{1}{2 b}

Multiply fractions:

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

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

Multiply:

1 \cdot 1 \cdot a = a

= \frac{a}{2 e b}

8 2^{3}

5 (3)^{3} e^{- (3)}

(5 x^{3}) (2 x^{4})

e^{- 3 (1)}

e^{x} e^{2}

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