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\frac{2^{1}c^{1}}{4^{1}c^{1}}
Use the rules of exponents to simplify the expression.
\frac{2^{1}c^{1-1}}{4^{1}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{2^{1}c^{0}}{4^{1}}
Subtract 1 from 1.
\frac{2^{1}}{4^{1}}
For any number a except 0, a^{0}=1.
\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.