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Popular >

simplify e^{2x}*2e^{1/2 x}

Solution

simplify

e^{2 x} \cdot 2 e^{\frac{1}{2} x}

Solution

2 e^{\frac{5 x}{2}}

Solution steps

e^{2 x} \cdot 2 e^{\frac{1}{2} x}

Apply exponent rule:

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

e^{2 x} e^{\frac{1}{2} x} = e^{2 x + \frac{1}{2} x}

= 2 e^{2 x + \frac{1}{2} x}

e^{2 x + \frac{1}{2} x} = e^{\frac{5 x}{2}}

= 2 e^{\frac{5 x}{2}}

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Frequently Asked Questions (FAQ)

What is e^{2x}*2e^{1/2 x} ?
The solution to e^{2x}*2e^{1/2 x} is 2e^{(5x)/2}