The number 2160 can be expressed as 2ax3bx5.find the value of a and b

Answer 1

To find the values of a and b, we need to consider the prime factorization of 2160:

2160 = 2^4 * 3^3 * 5

Comparing this with the given expression 2^a * 3^b * 5, we can see that:
a = 4
b = 3

Therefore, the value of a is 4 and the value of b is 3.