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Popular >

simplify (1+1/x)^x

Solution

simplify

(1 + \frac{1}{x})^{x}

Solution

\frac{( x + 1 ) ^{x}}{x ^{x}}

Solution steps

(1 + \frac{1}{x})^{x}

Join

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

= (\frac{x + 1}{x})^{x}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x + 1 ) ^{x}}{x ^{x}}

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Frequently Asked Questions (FAQ)

What is (1+1/x)^x ?
The solution to (1+1/x)^x is ((x+1)^x)/(x^x)