It looks like you're asking to simplify the following expression:

$\sqrt{\frac{x^{2/3} + y^{2/3}}{x^{2/3}}}$

Let's break it down step by step:

1. The expression inside the square root is:

$\frac{x^{2/3} + y^{2/3}}{x^{2/3}}$

2. We can split the fraction into two terms:

$\frac{x^{2/3}}{x^{2/3}} + \frac{y^{2/3}}{x^{2/3}}$

3. Simplify the first part, $\frac{x^{2/3}}{x^{2/3}} = 1$, so the expression becomes:

$1 + \frac{y^{2/3}}{x^{2/3}}$

4. $\frac{y^{2/3}}{x^{2/3}}$ can be written as $\left(\frac{y}{x}\right)^{2/3}$, which simplifies the expression to:

$1 + \left(\frac{y}{x}\right)^{2/3}$

5. Now, we take the square root of the entire expression:

$\sqrt{1 + \left(\frac{y}{x}\right)^{2/3}}$

This is the simplified form of the expression.

Would you like more details on this, or do you have any questions?

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Here are 5 related questions:

1. How do you simplify fractional exponents?
2. What is the process for splitting a fraction into simpler terms?
3. How does the square root interact with exponents in a mathematical expression?
4. How do you manipulate expressions with terms in the form $a^{m/n}$?
5. What are the rules for working with radicals and fractional exponents?

Tip: When simplifying fractions involving exponents, remember that dividing powers with the same base subtracts their exponents!