- #1

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Im not really sure what direction to go in. Im not sure if I need to show for n positive and negative separately or is there an easier way.

My attempt/ideas:

When n>0: a^(m)a^(n)= (a*a*...*a)(m times) *(a*a*a*a*...*a)(n times)

=a*a*...*a(m+n times)

=a^(m+n)

When n<0: a^(m)a^(n)=a^(m)=a....a(m times)/ a...a(n times)