To simplify the expression \( 3^{1/5} \times 3^{5} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
In this case:
\[ 3^{1/5} \times 3^{5} = 3^{(1/5 + 5)} \]
Now, we need to add the exponents. The exponent \( 5 \) can be converted to a fraction with a denominator of \( 5 \):
\[ 5 = \frac{25}{5} \]
Now we can add the exponents:
\[ \frac{1}{5} + \frac{25}{5} = \frac{1 + 25}{5} = \frac{26}{5} \]
Thus, we have:
\[ 3^{1/5} \times 3^{5} = 3^{26/5} \]
So, the simplified form of the expression is
\[ 3^{26/5} \]