What is (e^{-4x})(4e^{4x}) ?

The solution to (e^{-4x})(4e^{4x}) is 4

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simplify (e^{-4x})(4e^{4x})

simplify

(e^{- 4 x}) (4 e^{4 x})

4

Solution steps

(e^{- 4 x}) (4 e^{4 x})

Apply exponent rule:

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

e^{- 4 x} e^{4 x} = e^{- 4 x + 4 x}

= 4 e^{- 4 x + 4 x}

Add similar elements:

- 4 x + 4 x = 0

= 4 e^{0}

Apply rule

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

e^{0} = 1

= 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= 4

42 (22)

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