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

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

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

simplify

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

2 e^{4 x} x

Solution steps

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

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

Add similar elements:

2 x + 2 x = 4 x

= x \cdot 2 e^{4 x}

2 x^{3} y^{3}

216^{3}

x \times e^{- \frac{x}{20}}

3 (7 x + 3)^{2}

11^{5}