If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of a ^ n , what is the value of a?
1. a^n = 64
2. n =6
Product of first eight positive intgers = 8! = \(2^7 * 3^4 * 5 * 7\)
Statement 1), a=8, n=2 or a=2, n=6 . Hence insuff.
Statement 2) n=6 which means a=2 since 2 is only number with power of greater than equal to 6