Evaluate 100^(-1/2)

Problem

100^(−1/2)

Solution

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

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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