Answer:
Step-by-step explanation:
After simplifying √x^6, it becomes |x^3|. The absolute value bars are necessary because the square root (√) of x^6 can result in both positive and negative values.
When we simplify √x^6, we are finding the square root of x raised to the power of 6. Since the square root returns the positive value of a number, √x^6 will always be positive or zero. However, x^6 can have both positive and negative values, depending on the value of x.
By using absolute value bars, we indicate that the result of √x^6 is always positive or zero, regardless of whether x is positive or negative. This ensures that the simplified expression represents all possible values of √x^6.
