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Popular >

simplify e^{3x}*3e^x

Solution

simplify

e^{3 x} \cdot 3 e^{x}

Solution

3 e^{4 x}

Solution steps

e^{3 x} \cdot 3 e^{x}

Apply exponent rule:

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

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

= 3 e^{3 x + x}

Add similar elements:

3 x + x = 4 x

= 3 e^{4 x}

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Frequently Asked Questions (FAQ)

What is e^{3x}*3e^x ?
The solution to e^{3x}*3e^x is 3e^{4x}