A student simplified the rational expression
using the steps shown.

(x^2/5 • x^4/5 / x^2/5)^1/2 = (x^6/5 / x^2/5)^1/2

Is the answer correct? Explain.

No, the answer is not correct

Step-by-step explanation:

In the second step, the student didn’t use the quotient of powers property correctly. They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5). They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.