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\frac{3^{1}c^{1}m^{1}}{5^{1}c^{1}m^{1}}
Use the rules of exponents to simplify the expression.
\frac{3^{1}}{5^{1}}c^{1-1}m^{1-1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{3^{1}}{5^{1}}c^{0}m^{1-1}
Subtract 1 from 1.
\frac{3^{1}}{5^{1}}m^{1-1}
For any number a except 0, a^{0}=1.
\frac{3^{1}}{5^{1}}m^{0}
Subtract 1 from 1.
\frac{3^{1}}{5^{1}}
For any number a except 0, a^{0}=1.
\frac{3}{5}
Divide 3 by 5.