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Popular >

simplify (1/x-sqrt(x))^5

Solution

simplify

(\frac{1}{x} - x)^{5}

Solution

\frac{( - x x + 1 ) ^{5}}{x ^{5}}

Solution steps

(\frac{1}{x} - x)^{5}

Join

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

= (\frac{- x x + 1}{x})^{5}

Apply exponent rule:

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

= \frac{( - x x + 1 ) ^{5}}{x ^{5}}

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Frequently Asked Questions (FAQ)

What is (1/x-sqrt(x))^5 ?
The solution to (1/x-sqrt(x))^5 is ((-sqrt(x)x+1)^5)/(x^5)