write 2 x 2 x 2 x 2 x 2 x 2 x 2 in the form p 2p , where p e n

I lost the question towards the end ...

Perhaps you mean:   2 x 2 x 2 x 2 x 2 x 2 x 2   =   2 ^ 7

(I got the 7 by counting the number of 2's in the problem.)