(9x)^1/2 (8x)^1/3

would the 1/2 be distributed to the 9 and the x or is 9x one term and the 1/2 is given to the whole term? thanks :)

It will be clearer if you familiarize yourself with the following rule of exponents:

(ab)x=axbx

So
(9x)1/2 = 91/2x1/2

The same rule applies to the exponent (1/3).