To solve the expression \( \frac{9^{3/5}}{9^{1/5}} \) using the Quotient Property of exponents, we can use the property that states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case, we have:
- \( a = 9 \)
- \( m = \frac{3}{5} \)
- \( n = \frac{1}{5} \)
Now, applying the Quotient Property:
\[ \frac{9^{3/5}}{9^{1/5}} = 9^{3/5 - 1/5} \]
Now, we subtract the exponents:
\[ 3/5 - 1/5 = \frac{3-1}{5} = \frac{2}{5} \]
Thus, the expression simplifies to:
\[ 9^{2/5} \]
The simplified exponent is:
\[ \frac{2}{5} \]