Question

Given that: 100 = 2^2 * 5^2, how is 400 written as a product of its prime factors?

Answer 1

The appropriate answer is
2^2*10^2=400
2^2=4
10^10=100
4*100=400

Answer 2

400 written as a product of it's prime factors is 2^4 * 5²

Explanation:

We have to factore the number, dividing by prime factors(2, 3, 5, 7, ...)

400|2

200|2

100

We already have the factorization of 100. So

400 = 2²*100 = 2²*2²*5² = 2^4 * 5²

400 written as a product of it's prime factors is 2^4 * 5²