## Simplifying (x^(1/3))^2

In mathematics, simplifying expressions is an essential skill. Today, we'll focus on simplifying the expression **(x^(1/3))^2**.

### Understanding the Basics

**Fractional exponents:**The expression x^(1/3) represents the cube root of x. In other words, it's the number that, when multiplied by itself three times, equals x.**Exponent rules:**When raising a power to another power, we multiply the exponents. This rule applies here as well.

### Simplifying the Expression

Let's break down the simplification process:

**Apply the exponent rule:**(x^(1/3))^2 = x^((1/3) * 2)**Multiply the exponents:**x^((1/3) * 2) = x^(2/3)

Therefore, **(x^(1/3))^2 simplifies to x^(2/3).**

### Conclusion

Simplifying expressions like (x^(1/3))^2 involves understanding fractional exponents and applying the fundamental rules of exponents. By carefully applying these rules, we arrive at a simpler and more concise representation of the original expression.