What is 2a^{-3/2}e^{-r/a} ?

The solution to 2a^{-3/2}e^{-r/a} is 2/(e^{r/a)a^{3/2}}

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simplify 2a^{-3/2}e^{-r/a}

simplify

2 a^{- \frac{3}{2}} e^{- \frac{r}{a}}

\frac{2}{e ^{\frac{r}{a}} a ^{\frac{3}{2}}}

Solution steps

2 a^{- \frac{3}{2}} e^{- \frac{r}{a}}

Apply exponent rule:

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

= 2 e^{- \frac{r}{a}} \frac{1}{a ^{\frac{3}{2}}}

Apply exponent rule:

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

= 2 \cdot \frac{1}{a ^{\frac{3}{2}}} \cdot \frac{1}{e ^{\frac{r}{a}}}

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 2}{a ^{\frac{3}{2}} e ^{\frac{r}{a}}}

Multiply the numbers:

1 \cdot 1 \cdot 2 = 2

= \frac{2}{e ^{\frac{r}{a}} a ^{\frac{3}{2}}}

\frac{1 - x}{1 + x}

- 2 e^{- (1)^{2}} (1)

e^{2 t} (e^{2 t} + 1 - sin (2 t))

(2 p^{2} r^{3} - 4 p^{3} r^{2}) 3 p^{2} r^{2}

- 7 e^{- 3 x}

What is 2a^{-3/2}e^{-r/a} ?
The solution to 2a^{-3/2}e^{-r/a} is 2/(e^{r/a)a^{3/2}}