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Popular >

simplify (n^{1/2})/(n^2)

Solution

simplify

\frac{n ^{\frac{1}{2}}}{n ^{2}}

Solution

\frac{1}{n ^{\frac{3}{2}}}

Solution steps

\frac{n ^{\frac{1}{2}}}{n ^{2}}

Apply exponent rule:

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

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

Join

\frac{1}{2} - 2 : - \frac{3}{2}

= n^{- \frac{3}{2}}

Apply exponent rule:

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

= \frac{1}{n ^{\frac{3}{2}}}

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Frequently Asked Questions (FAQ)

What is (n^{1/2})/(n^2) ?
The solution to (n^{1/2})/(n^2) is 1/(n^{3/2)}