17 is a prime number and when we state 17^2 this also means 17*17 or the same as when we say seventeen squared. Consider the integer 17^2 to be represented by the letter variable p2 and the number 17 to represented by the variables p1 or just p. Obviously then p is prime and p1 is prime but p2 is composite. Now imagine another larger composite number q where p^2 or p1^2 is part of the factorization of q is reducible to p^n as the largest prime factor of the large composite q. Now, since if we are obeying the laws of computation and orders of operation it is entirely feasible for large composite q/p^n = p when p is a prime factor and p^n is a prime number to a composite power. But once we take large composite number q and divide it by p^n or p^2 this may be the entire large prime factor base 17 to an exponent removed from the factoring. This is to say if we took out all the 17's by dividing q by p^n then labeled the resulting smaller composite m (where m is another composite < q), then we have q/p^n=m where m is not divisible by p, but where q was divisible by p^n, but no longer has factor p once the division takes place and large composite q becomes a composite < q represented by variable m.