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Popular >

simplify x^3(2xe^{2x})

Solution

simplify

x^{3} (2 x e^{2 x})

Solution

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

Solution steps

x^{3} (2 x e^{2 x})

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= 2 x^{3 + 1} e^{2 x}

Add the numbers:

3 + 1 = 4

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

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Frequently Asked Questions (FAQ)

What is x^3(2xe^{2x}) ?
The solution to x^3(2xe^{2x}) is 2e^{2x}x^4