## Simplifying (x^6)^1/2

The expression (x^6)^1/2 represents a power raised to another power. To simplify this, we use the rule of exponents:

**(a^m)^n = a^(m*n)**

Applying this to our expression:

**(x^6)^1/2 = x^(6 * 1/2) = x^3**

Therefore, the simplified form of (x^6)^1/2 is **x^3**.

**Explanation:**

**(x^6)**means x multiplied by itself six times.**(1/2)**as an exponent indicates taking the square root of the base.- We multiply the exponents (6 * 1/2) to get 3.
- Therefore, the final result is x cubed (x^3).