Question

If 2520 = 2^a × 3^b × 5^c × 7^d, then a + b – 2c – 3d = ______.

Answer 1

If 2520 = 2^a × 3^b × 5^c × 7^d, then a + b – 2c – 3d = 0.

Explanation:

2520 = 2³ × 3² × 5¹ × 7¹ 

So a = 3, b = 2, c = 1, d = 1. 

Therefore a + b – 2c – 3d

= 3 + 2 – 2(1) – 3(1) 

= 0