Your #1 really depends upon the definition of 'infinite' your text uses.
For #2 read my pdf-file.
1. Suppose the the set N of natural numbers is less than or equimunerous to A. Show that A is infinite. Infinite is defined as not having a bijection.
2. Prove by exhibiting an appropriate bijection that
C^AXB is equinumerous to (C^B)^A.
Thanks for any help.