Question

Which of the following shows the prime factorization of 72 using exponential notation?

Answer 1

2³ × 3²

Explanation:

Repeatedly divide by 2 until finish, then divide by 3

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9 , then

9 ÷ 3 = 3

3 ÷ 3 = 1 ← finish when 1 is reached

Then

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

Answer 2

2^3 .3^2

Explanation:

if 2×2×2 = 8

and 3×3=9 then 8×9=72