Given 2 ^ a · 3 ^ B = 216, where a and B are natural numbers, find the value of a ^ 2 · B ^ 3

Given 2 ^ a · 3 ^ B = 216, where a and B are natural numbers, find the value of a ^ 2 · B ^ 3

216 = 2*108 = 4*54 = 8*27
In the above equation, only 8 * 27 satisfies that a B is a natural number
8 = 2^3
27 = 3^3
So a = b = 3
a^2 * b^3 = 3^2 * 3^3 = 9 * 27 = 243