Answer:
[tex]\textbf{No, the answer is not correct }[/tex].
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.
[tex](\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )[/tex]
[tex]=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}[/tex]
[tex]=x^{6/5-2/5} )^{1/2}[/tex]
[tex]=(x^{4/5} )^{1/2} =x^{2/5}[/tex]
OAmalOHopeO
