Question

x^(3/2)-x^(1/2)

Answer 1

\[x^{3/2} - x^{1/2}\]

Answer 2

yes

Answer 3

well, what are you trying to do?

Answer 4

factor

Answer 5

what is common between the two terms?

Answer 6

hehe sry i got

Answer 7

yep, you can either pull out x^(1/2) or x^(3/2).
I would chose to pull out x^(3/2)

Answer 8

so like a first step hope you know that the denominator of factorial exponent mean the indice of radical

yes ?

Answer 9

so than x^(3/2) = sqrt(x^3) and x^(1/2) = sqrt(x)

ok ?

Answer 10

so sqrtx^3 = xsqrtx

do you know it why ?

Answer 11

because sqrtx^3 = sqrt(x^2*x) = xsqrtx

Answer 12

so than will get


xsqrtx -sqrtx = sqrtx(x-1)

Answer 13

oh thanks! :)

Answer 14

can I ask another question?