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Popular >

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

Solution

simplify

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

Solution

e^{5 x} x

Solution steps

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

Apply exponent rule:

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

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

= x e^{3 x + 2 x}

Add similar elements:

3 x + 2 x = 5 x

= x e^{5 x}

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Frequently Asked Questions (FAQ)

What is (e^{3x})(xe^{2x}) ?
The solution to (e^{3x})(xe^{2x}) is e^{5x}x