The expression $(x^5)^2$ can be simplified using the rule of exponents $(a^m)^n = a^{m \cdot n}$, where $a$ is the base, and $m$ and $n$ are exponents.

So: $(x^5)^2 = x^{5 \cdot 2} = x^{10}$

The simplified expression is $x^{10}$.

Do you want further details or have any questions?

Here are five related questions:

1. How would you simplify $(x^3)^4$?
2. What is the result of $(y^2)^5$?
3. How do you simplify $(2x^2)^3$?
4. Can you simplify $(x^a)^b$ for general exponents $a$ and $b$?
5. What is the simplified form of $(x^5 y^2)^3$?

Tip: When dealing with powers of powers, multiply the exponents to simplify the expression.