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).