Answer
The answer is $10^{-2}$
Work Step by Step
To write $\frac{1}{100}$ in the form with the power of 10 and negative exponent, we can change the equation and bring the 100 to the numerator. We can write 100 with respect to 10 as $10^{2}$=100. Since 10 has an exponent of 2, the exponent changes from positive 2 to negative 2 when we bring it from the denominator to numerator.
$\frac{1}{100}$ = $\frac{1}{10^{2}}$= $10^{-2}$
