Originally Posted by

**WeeG** Hello,

I am trying to prove that a set V is a vector space, I managed to prove most of the process, but stuck with a couple of things...

The set V is the set of positive real numbers, and the field is R.

the two operations are:

x++y = xy

a**x = x^a

(where ++ is the addition, ** is the scalar multiplication, and a is a real scalar)

I find it hard to prove that for 2 scalars r and s, and a member of V, x

(r++s)**x = (r**x) + (s**x)

basically what I don't understand, is what do to when having

r**s, in other words, when I have to multiply 2 scalars, do I do it using the regular operator, or using the new X*scalar operator

any help would be appreciated...