Question

A student simplified the rational expression

Answer 1

Answer:

Does the answer help you?

Answer 2

Answer:

$\textbf{No, the answer is not correct }$.

Step-by-step explanation:

The student didn't use the quotient of powers property correctly. Instead of subtracting, the student divided the exponents within the parenthesis. So, x to the two-fifths power is the correct simplified form.

$(\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )$

$=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}$

$=x^{6/5-2/5} )^{1/2}$

$=(x^{4/5} )^{1/2} =x^{2/5}$

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