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\frac{19^{1}c_{2}^{1}}{20^{1}c_{2}^{1}}
Use the rules of exponents to simplify the expression.
\frac{19^{1}c_{2}^{1-1}}{20^{1}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{19^{1}c_{2}^{0}}{20^{1}}
Subtract 1 from 1.
\frac{19^{1}}{20^{1}}
For any number a except 0, a^{0}=1.
\frac{19}{20}
Divide 19 by 20.