Evaluate 4^(-1/2)

Problem

4(−1/2)

Solution

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

4(−1/2)=1/(4(1/2))

2. Apply the rational exponent rule, which states that a(1/n)=√(n,a)

1/(4(1/2))=1/√(,4)

3. Evaluate the square root of the number in the denominator.

1/√(,4)=1/2

Final Answer

4(−1/2)=1/2

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