What is ((e^{x/2}+3)/4)(e^{-x/2}) ?

The solution to ((e^{x/2}+3)/4)(e^{-x/2}) is (e^{x/2}+3)/(4e^{x/2)}

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simplify ((e^{x/2}+3)/4)(e^{-x/2})

simplify

(\frac{e ^{\frac{x}{2}} + 3}{4}) (e^{- \frac{x}{2}})

\frac{e ^{\frac{x}{2}} + 3}{4 e ^{\frac{x}{2}}}

Solution steps

(\frac{e ^{\frac{x}{2}} + 3}{4}) (e^{- \frac{x}{2}})

Apply exponent rule:

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

= \frac{e ^{\frac{x}{2}} + 3}{4} \cdot \frac{1}{e ^{\frac{x}{2}}}

Multiply fractions:

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

= \frac{( e ^{\frac{x}{2}} + 3 ) \cdot 1}{4 e ^{\frac{x}{2}}}

(e^{\frac{x}{2}} + 3) \cdot 1 = e^{\frac{x}{2}} + 3

= \frac{e ^{\frac{x}{2}} + 3}{4 e ^{\frac{x}{2}}}

(3 + 7) (3 + 7)

2 x + 1^{2}

0.7 e^{- 0.0115 \cdot 60}

\frac{1}{6 π} e^{- \frac{x ^{2}}{2}}

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

What is ((e^{x/2}+3)/4)(e^{-x/2}) ?
The solution to ((e^{x/2}+3)/4)(e^{-x/2}) is (e^{x/2}+3)/(4e^{x/2)}