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\frac{1}{\sqrt{100}}
Use the rules of exponents to simplify the expression.
100^{\frac{1}{2}\left(-1\right)}
To raise a power to another power, multiply the exponents.
100^{-\frac{1}{2}}
Multiply \frac{1}{2} times -1.
\frac{1}{10}
Raise 100 to the power -\frac{1}{2}.