Evaluate 100^(-1/2)

Problem

100(−1/2)

Solution

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

1/(100(1/2))

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

1/√(,100)

3. Evaluate the square root of 100

1/10

4. Convert to decimal form if required, though the fraction is a standard simplified form.

0.1

Final Answer

100(−1/2)=1/10

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