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Popular >

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

Solution

simplify

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

Solution

\frac{1}{2} e^{3 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

2 x + x = 3 x

= \frac{1}{2} e^{3 x}

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Frequently Asked Questions (FAQ)

What is 1/2 e^{2x}*e^x ?
The solution to 1/2 e^{2x}*e^x is 1/2 e^{3x}