The expression in the image is:

$\sqrt[5]{p^2 \cdot \sqrt{p}}$

Let me simplify it step by step.

1. The inner square root $\sqrt{p}$ is equivalent to $p^{1/2}$, so the expression becomes: $\sqrt[5]{p^2 \cdot p^{1/2}}$

2. Using the property of exponents $a^m \cdot a^n = a^{m+n}$, combine the powers of $p$: $p^2 \cdot p^{1/2} = p^{2 + 1/2} = p^{5/2}$

3. Now, you have the fifth root of $p^{5/2}$: $\sqrt[5]{p^{5/2}} = p^{(5/2) \cdot (1/5)} = p^{1/2}$

4. $p^{1/2}$ is the same as $\sqrt{p}$.

Thus, the simplified expression is:

$\sqrt{p}$

Let me know if you need further details or have any questions!

Here are 5 related questions:

1. How do you simplify nested radicals?
2. What are the properties of exponents when dealing with roots?
3. How would you simplify $\sqrt[3]{p^4 \cdot \sqrt{p}}$?
4. Can you explain why $\sqrt{p}$ is the same as $p^{1/2}$?
5. How can you express higher roots in terms of fractional exponents?

Tip: Always simplify exponents first when dealing with radicals; it can make solving the expression easier!