Evaluate 36^(-1/2)

Problem

36^(−1/2)

Solution

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

36^(−1/2)=1/(36^(1/2))

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

1/(36^(1/2))=1/√(,36)

3. Evaluate the square root of 36.

√(,36)=6

4. Simplify the fraction to find the final value.

1/6

Final Answer

36^(−1/2)=1/6

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