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

The solution to 1/(2^2*1)x^{2-1}e^{-x/2} is x/(4e^{x/2)}

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simplify 1/(2^2*1)x^{2-1}e^{-x/2}

simplify

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

\frac{x}{4 e ^{\frac{x}{2}}}

Solution steps

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

Apply exponent rule:

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

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

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

Cancel the common factor:

1

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

1 \cdot x^{2 - 1} = x

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

2^{2} = 4

= \frac{x}{4 e ^{\frac{x}{2}}}

(101083)^{(- 84)}

6.49 \cdot 1 0^{- 9}

(5.2 \cdot 1 0^{- 8}) (2400)

2.7 \cdot 15 0^{- 0.265}

What is 1/(2^2*1)x^{2-1}e^{-x/2} ?
The solution to 1/(2^2*1)x^{2-1}e^{-x/2} is x/(4e^{x/2)}