Simplify x^(-1/2)

Problem

x(−1/2)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an)

2. Apply the rule to the expression by moving the base to the denominator and changing the sign of the exponent.

x(−1/2)=1/(x(1/2))

3. Rewrite the fractional exponent as a radical using the rule a(1/n)=√(n,a)

1/(x(1/2))=1/√(,x)

Final Answer

x(−1/2)=1/√(,x)

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