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Popular >

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

Solution

simplify

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

Solution

2 e^{4 x} x

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

2 x + 2 x = 4 x

= 2 x e^{4 x}

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Frequently Asked Questions (FAQ)

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