so 55^5 times 65 times 49^13
so this means
55 times itself 5 times times 65 times 49 times itself 13 times or
55 times 55 times 55 times 55 times 55 times 65 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49 times 49
so factor each
rule of exponents
55^5
55=11 times 5
55^5=5^5 times 11^5
65=5 times 13
49=7 times 7
49^13=7^26
total multiplication is 5^5 times 5 times 11 times 13 times 7^26
5^5 times 5=5^6
so prime factorization is
5^6 times 7^26 times 11 times 13
