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Popular >

simplify e^x*6e^{3x-1}

Solution

simplify

e^{x} \cdot 6 e^{3 x - 1}

Solution

6 e^{4 x - 1}

Solution steps

e^{x} \cdot 6 e^{3 x - 1}

Apply exponent rule:

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

e^{x} e^{3 x - 1} = e^{x + 3 x - 1}

= 6 e^{x + 3 x - 1}

Add similar elements:

x + 3 x = 4 x

= 6 e^{4 x - 1}

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Frequently Asked Questions (FAQ)

What is e^x*6e^{3x-1} ?
The solution to e^x*6e^{3x-1} is 6e^{4x-1}