What is e^{xsqrt(2)+x}e^{-xsqrt(2)-x} ?

The solution to e^{xsqrt(2)+x}e^{-xsqrt(2)-x} is 1

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simplify e^{xsqrt(2)+x}e^{-xsqrt(2)-x}

simplify

e^{x 2 + x} e^{- x 2 - x}

1

Solution steps

e^{x 2 + x} e^{- x 2 - x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x 2 + x} e^{- x 2 - x} = e^{2 x + x - 2 x - x}

= e^{x 2 + x - x 2 - x}

Simplify

x 2 + x - x 2 - x : 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

e^{- s t} \cdot e^{- \frac{13}{10} t}

7555 1 + 53

e^{- \frac{200}{1000}}

e^{(- 0.57)}

\frac{( 36 p ) ^{- 0.5}}{36} p^{- 1.5}

What is e^{xsqrt(2)+x}e^{-xsqrt(2)-x} ?
The solution to e^{xsqrt(2)+x}e^{-xsqrt(2)-x} is 1