Question

600 can be written as 2^a X B X C^d What is A B C and D. When they are all prime numbers.

Answer 1

You just have to prime factorise.
the above pic has the answer with steps.

Answer 2

when we prime factorize 600 we get , 2×2×2×3×5×5

therefore,
600 = 2^a × b × C^d

=> 2×2×2×3×5×5 = 2^a × B × C^d

comparing LHS and RHS
we get ,

=> 2³×3×5² = 2^a × B× C^d

2^a = 2³
=> a= 3 (as bases are equal then exponents are equal)

3 = B
5² = C^d

=> C = 5 and d = 2


a = 3
b = 3
c = 5
d = 2



hope this helps