CPHILL! PLEASE CAN YOU HELP? I DONT UNDERSTAND HOW TO SOLVE THIS?

Sorry I'm not CPhill, but here:

7*24*48=8064 =2^7*9*7

Therefore, y =2^2*3*7^2 =588

=8064*588=47416

Recheck: 168^3=47416

Hope this helped!

x  =  7 * 24 * 48  = 8064

Factor  24  =   3 * 2^3

Factor  48  =  3 *  2^4

So

x  =  7 * 3 * 3 * 2^3 * 2^4   =   7 * 3^2  * 2^7

Note  that for xy to be a perfect  cube, y  needs to be   7^2 * 3 * 2^2   =  588

So....to check

xy =  8064 * 588  =  4741362

Cube root    = 168