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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Combine the fractions

- \frac{1}{2} - \frac{1}{2} : - 1

= x^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{x}

Popular Examples

(x^2)/2+5/2 x=2

\frac{x ^{2}}{2} + \frac{5}{2} x = 2

factor 16a^2-49 factor

16 a^{2} - 49

-35-7n<-4(-4+6n)

- 35 - 7 n < - 4 (- 4 + 6 n)

simplify 2sqrt(7)(3sqrt(12)+5sqrt(8))simplify

27 (312 + 58)

factor a(a+1)-(a+1)^2 factor

a (a + 1) - (a + 1)^{2}

Frequently Asked Questions (FAQ)

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