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\frac{32^{1}n^{1}}{24^{1}n^{1}}
Use the rules of exponents to simplify the expression.
\frac{32^{1}n^{1-1}}{24^{1}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{32^{1}n^{0}}{24^{1}}
Subtract 1 from 1.
\frac{32^{1}}{24^{1}}
For any number a except 0, a^{0}=1.
\frac{4}{3}
Reduce the fraction \frac{32}{24} to lowest terms by extracting and canceling out 8.