Question

What is the prime factorization if 6400 using exponents

Answer 1

So prime factorization is as it seems, finding the prime factors for a number. With this number, break it down as such:

$\underbrace{6400}_{\underbrace{64}_{\underbrace{8}_{\underbrace{4}_{\boxed{2*2}} \boxed{2}}*\underbrace{8}_{\underbrace{4}_{\boxed{2*2}}\boxed{2}}}*\underbrace{100}_{\underbrace{10}_{\boxed{5*2}}*\underbrace{10}_{\boxed{5*2}}}}$

Looking at our factors, the prime factorization of 6400 is $2^8*5^2$