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Popular >

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

Solution

simplify

\frac{1}{2} e^{l n (a)} e^{- x}

Solution

\frac{a e ^{- x}}{2}

Solution steps

\frac{1}{2} e^{l n (a)} e^{- x}

Apply exponent rule:

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

e^{l n (a)} e^{- x} = e^{l n (a) - x}

= \frac{1}{2} e^{l n (a) - x}

e^{l n (a) - x} = a e^{- x}

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

Simplify

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

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Frequently Asked Questions (FAQ)

What is 1/2 e^{ln(a)}e^{-x} ?
The solution to 1/2 e^{ln(a)}e^{-x} is (ae^{-x})/2