Express 200 as a product of its prime factors. Give your answer in index notation
To express 200 as a product of its prime factors, we first need to determine the prime numbers that multiply together to give 200. We can do this through a process called prime factorization.
Let's factor 200:
200 = 2 × 100
= 2 × (2 × 50)
= 2 × 2 × (2 × 25)
= 2 × 2 × 2 × (5 × 5)
= 2³ × 5²
Thus, 200 expressed as a product of its prime factors in index notation is 2³ × 5².