Simplify the expression $(y^{25})^{2/5}$ and express the answer with positive exponents.

1. Problem Description

Simplify the expression $(y^{25})^{2/5}$ and express the answer with positive exponents.

2. Solution Steps

We are given the expression $(y^{25})^{2/5}$.

To simplify this, we can use the power of a power rule, which states that $(a^m)^n = a^{m \cdot n}$.

Applying this rule, we have:

$(y^{25})^{2/5} = y^{25 \cdot (2/5)}$

$y^{25 \cdot (2/5)} = y^{50/5}$

$y^{50/5} = y^{10}$

3. Final Answer

$y^{10}$