Simplify ( square root of x)/(x^2)

Problem

√(,x)/(x2)

Solution

1. Rewrite the square root in the numerator as a power with a fractional exponent.

√(,x)=x(1/2)

2. Substitute this expression back into the original fraction.

(x(1/2))/(x2)

3. Apply the quotient rule for exponents, which states that (xa)/(xb)=x(a−b)

x(1/2−2)

4. Subtract the exponents by finding a common denominator.

1/2−4/2=−3/2

5. Express the result with a positive exponent by moving the term to the denominator.

x(−3/2)=1/(x(3/2))

Final Answer

√(,x)/(x2)=1/(x(3/2))

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