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Popular >

simplify xe^x*xe^x

Solution

simplify

x e^{x} \cdot x e^{x}

Solution

e^{2 x} x^{2}

Solution steps

x e^{x} x e^{x}

Apply exponent rule:

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

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

= xx e^{x + x}

Add similar elements:

x + x = 2 x

= xx e^{2 x}

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

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Frequently Asked Questions (FAQ)

What is xe^x*xe^x ?
The solution to xe^x*xe^x is e^{2x}x^2