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