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\frac{10^{-7}}{10^{-2}}=x
Cancel out 2 in both numerator and denominator.
\frac{1}{10^{5}}=x
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{1}{100000}=x
Calculate 10 to the power of 5 and get 100000.
x=\frac{1}{100000}
Swap sides so that all variable terms are on the left hand side.