Evaluate 9^(-1/2)

Problem

9^(−1/2)

Solution

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

9^(−1/2)=1/(9^(1/2))

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

1/(9^(1/2))=1/√(,9)

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

1/√(,9)=1/3

Final Answer

9^(−1/2)=1/3

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