Question

Express 32000 as a product of powers of prime factors

• A. 2⁸ x 5²
• B. 2⁸ x 5³
• C. 2⁷ x 5⁴
• D. 2⁸ x 54³

Answer 1

The correct option is B

2⁸ x 5³

32000= 32 x 1000= (2 * 2 * 2 * 2 * 2) * 1000 = $2^5\ast {10}^3$ (as 32 = 2 * 2 * 2 * 2 * 2)

$2^5\ast (2\ast 2\ast 2\ast 5\ast 5\ast 5)=2^5\ast 2^3\ast 5^3=2^8\ast 5^3$