To solve \((15^{1/5})^5\), we can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).
Applying this property:
\[ (15^{1/5})^5 = 15^{(1/5) \cdot 5} \]
Now, simplify the exponent:
\[ (1/5) \cdot 5 = 1 \]
Thus, we have:
\[ 15^{1} = 15 \]
Therefore, \((15^{1/5})^5 = 15\).