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Popular >

simplify (4x)e^{-2}xe^4

Solution

simplify

(4 x) e^{- 2} x e^{4}

Solution

4 e^{2} x^{2}

Solution steps

(4 x) e^{- 2} x e^{4}

Apply exponent rule:

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

e^{- 2} e^{4} = e^{- 2 + 4}

= 4 xx e^{- 2 + 4}

Add/Subtract the numbers:

- 2 + 4 = 2

= 4 xx e^{2}

Apply exponent rule:

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

xx = x^{1 + 1}

= 4 x^{1 + 1} e^{2}

Add the numbers:

1 + 1 = 2

= 4 x^{2} e^{2}

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Frequently Asked Questions (FAQ)

What is (4x)e^{-2}xe^4 ?
The solution to (4x)e^{-2}xe^4 is 4e^2x^2