Question

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

Answer 1

Answer:1. 5×5×5×3×3×2×2×2

2. 5×5×3×3×3×3

3. 2×2×2×2×2×5×5

Step-by-step explanation:

1. 5power3 ×3power2 × 2power3

2.5power2 × 3power4

3. 2power5 × 5power2

Answer 2

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