Question

Express each of the following as a product of powers of their prime factors a. 9000 b. 2025 c. 800

Answer 1

Step-by-step explanation:

a. 9000 =  2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 2³ x 3² x 5³

b.  2025 = 3 x 3 x 3 x 3 x  5 x 5 = 3⁴ x 5²

c.  800   =  2 x 2 x 2 x 2 x 2 x 5 x 5 = 2⁵ x 5²

Answer 2

Answer:

As given below

Step-by-step explanation:

Given problem

Express each of the following as a product of powers of their prime factors a. 9000 b. 2025 c. 800

a . 9000

factorization of 9000 = 2 × 2 × 2 × 5 × 5 × 5 × 3 × 3  

= 2³ 5³ 3²

b.  2025

factorization of 2025 =  5 × 5 × 3 × 3 × 3 × 3

= 5² 3⁴

c. 800

factorization of 800 = 2 × 2 × 2 × 2 × 2 × 5 × 5  

= 2⁵ 5²