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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

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

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Frequently Asked Questions (FAQ)

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