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Popular >

simplify e^u(e^{-u})^2

Solution

simplify

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

Solution

e^{- u}

Solution steps

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

(e^{- u})^{2} : e^{- 2 u}

= e^{u} e^{- 2 u}

Apply exponent rule:

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

e^{u} e^{- 2 u} = e^{u - 2 u}

= e^{u - 2 u}

Add similar elements:

u - 2 u = - u

= e^{- u}

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Frequently Asked Questions (FAQ)

What is e^u(e^{-u})^2 ?
The solution to e^u(e^{-u})^2 is e^{-u}