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Popular >

simplify 5e^{5x}*xe^{5x}

Solution

simplify

5 e^{5 x} \cdot x e^{5 x}

Solution

5 e^{10 x} x

Solution steps

5 e^{5 x} x e^{5 x}

Apply exponent rule:

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

e^{5 x} e^{5 x} = e^{5 x + 5 x}

= 5 x e^{5 x + 5 x}

Add similar elements:

5 x + 5 x = 10 x

= 5 x e^{10 x}

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Frequently Asked Questions (FAQ)

What is 5e^{5x}*xe^{5x} ?
The solution to 5e^{5x}*xe^{5x} is 5e^{10x}x