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Popular >

simplify ae^{-ax}*ae^{-ay}

Solution

simplify

a e^{- a x} \cdot a e^{- a y}

Solution

a^{2} e^{- a x - a y}

Solution steps

a e^{- a x} a e^{- a y}

Apply exponent rule:

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

aa = a^{1 + 1}

= e^{- a x} a^{1 + 1} e^{- a y}

Add the numbers:

1 + 1 = 2

= e^{- a x} a^{2} e^{- a y}

Apply exponent rule:

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

e^{- a x} e^{- a y} = e^{- a x - a y}

= a^{2} e^{- a x - a y}

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Frequently Asked Questions (FAQ)

What is ae^{-ax}*ae^{-ay} ?
The solution to ae^{-ax}*ae^{-ay} is a^2e^{-ax-ay}