7^3 * 7^-4=
An easy way to do this is to keep the base te same and to add the exponents which would be ... 7^-7
7^3 * 7^-4= 7^ x 1/7^4=343 x 1/2401=343/2401=1/7
Another easier way is to ADD the exponents thus:
+3-4=-1, 7^-1=1/7