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Popular Calculus >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

= \frac{1 ^{\frac{1}{2}}}{( x - 1 ) ^{\frac{1}{2}}}

Apply rule

1^{a} = 1

1^{\frac{1}{2}} = 1

= \frac{1}{( x - 1 ) ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

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