Question

How do you simplify `x^ { 2/ 5} ( x ^ { 1/ 5} - x ^ { 5/ 2} )`?

Answer 1

`x^(3/5)-x^(29/10)`

Explanation:

Law:
`x^a(x^b+x^c)=x^(a+b)+x^(a+c)`

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`x^(2/5)*(x^(1/5)-x^(5/2))=x^(2/5+1/5)-x^(2/5+5/2)=x^(3/5)-x^((2*2+5*5)/10)=x^(3/5)-x^(29/10)`