A student simplified the rational expression using the steps shown.Is the answer correct? Explain.

Correct Answer:

The answer is not correct. In the second step, the student divided the exponents (6/5 divided by 2/5 = 3) instead of using the quotient of powers property, which requires subtracting the exponents (6/5 - 2/5 = 4/5). The expression within the parentheses should have been x to the 4/5 power. Applying the outer exponent of 1/2, the correct simplified form is x to the 2/5 power.