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Popular >

simplify (e^x)(xe^x)

Solution

simplify

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

Solution

e^{2 x} x

Solution steps

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

Apply exponent rule:

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

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

= x e^{x + x}

Add similar elements:

x + x = 2 x

= x e^{2 x}

Popular Examples

simplify 1.9\times 10^{-3}simplify

1.9 \times 1 0^{- 3}

simplify sqrt(2)^{16}simplify

2^{16}

simplify (2/6)left(2/6)^0left(2/6)^2left(2/6)^3 simplify

(\frac{2}{6}) l e f t (\frac{2}{6})^{0} l e f t (\frac{2}{6})^{2} l e f t (\frac{2}{6})^{3}

simplify (sqrt(-44))/(sqrt(4))simplify

\frac{- 44}{4}

simplify-1.6*10^{-19}(-11+8-34)simplify

- 1.6 \cdot 1 0^{- 19} (- 11 + 8 - 34)

Frequently Asked Questions (FAQ)

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