What is 1/4 e^{-(x+y)/2} ?

The solution to 1/4 e^{-(x+y)/2} is 1/(4e^{\frac{x+y){2}}}

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simplify 1/4 e^{-(x+y)/2}

simplify

\frac{1}{4} e^{- \frac{x + y}{2}}

\frac{1}{4 e ^{\frac{x + y}{2}}}

Solution steps

\frac{1}{4} e^{- \frac{x + y}{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

e^{- 0.00001}

1.56 \cdot 1 0^{- 20}

533320000 \cdot e^{- 40000}

(75 t e^{- 500 t}) (25 t e^{- 500 t})

What is 1/4 e^{-(x+y)/2} ?
The solution to 1/4 e^{-(x+y)/2} is 1/(4e^{\frac{x+y){2}}}