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Popular >

simplify (-e^{-x})(-e^{-x})

Solution

simplify

(- e^{- x}) (- e^{- x})

Solution

e^{- 2 x}

Solution steps

(- e^{- x}) (- e^{- x})

Apply exponent rule:

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

(- e^{- x}) (- e^{- x}) = (- e^{- x})^{1 + 1}

= (- e^{- x})^{1 + 1}

Add the numbers:

1 + 1 = 2

= (- e^{- x})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- e^{- x})^{2} = (e^{- x})^{2}

= (e^{- x})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{(- x) \cdot 2}

Remove parentheses:

(- a) = - a

= e^{- 2 x}

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Frequently Asked Questions (FAQ)

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