If we know that 1176 * a = B to the fourth power (AB is a non-zero natural number), then the minimum of a is ()?

If we know that 1176 * a = B to the fourth power (AB is a non-zero natural number), then the minimum of a is ()?

1176=2^3*3*7^2
Four times, a min = 2 * 3 ^ 3 * 7 ^ 2 = 2646