The name of the property is for each operation:
For X ^ 2 * X ^ 3
Same basis, the exponents are added.
X ^ 2 * X ^ 3
x ^ (2 + 3) = x ^ 5
For X ^ 6 / X ^ 3
Same base, the exponents are subtracted.
X ^ 6 / X ^ 3
X ^ (6-3) = x ^ 3
For (X ^ 3) ^ 2
Power of power:
(X ^ 3) ^ 2
X ^ (3 * 2) = x ^ 6