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Popular >

simplify 2e^{1/x}(e^{1/x})

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Combine the fractions

\frac{1}{x} + \frac{1}{x} : \frac{2}{x}

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

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Frequently Asked Questions (FAQ)

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