Question

The number 2008 can be expressed as 2ᵃ × 3ᵇ × 7ᶜ. Find the value of a-b-c​.

a) 7
b) 5
c) -5
d) -7

Answer 1

The value of a-b-c is 2.

Step-by-step explanation:

To find the value of a-b-c, we need to find the values of a, b, and c first. We can do this by prime factorizing 2008. Breaking down 2008 into prime factors, we get:

2008 = 2 × 2 × 2 × 251 = 23 × 251

This means that a = 3, b = 0 (since there is no factor of 3), and c = 1. Therefore, a-b-c = 3-0-1 = 2. Answer choice (a) 7 is correct.