Question

need help with some exponents,

7x^(3/2)-21x^(1/2)+14x^(-1/2)

Any help is appreciated.

Answer 1

\[7x ^{\frac{ 3 }{ 2 }}-21x ^{\frac{ 1 }{ 2 }}-14x ^{\frac{ -1 }{ 2 }}\]

Answer 2

what do you need to be done here, what is the question saying @freshmanqs

Answer 3

factor x^(-1/2) to simplify

Answer 4

and factor 7

Answer 5

another way to simplify is substitute
a=x^(-1/2)

Answer 6

\[7x^{\frac{-1}{2}} (x^2-3x+2)=\\7x^{\frac{-1}{2}} (x-1)(x-2)\]