Evaluate 16^(-1/2)

Problem

16(−1/2)

Solution

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

1/(16(1/2))

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

1/√(,16)

3. Calculate the square root of 16.

1/4

Final Answer

16(−1/2)=1/4

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