What’s the name of the property, and how do you combine the exponents? x^2 * x^3 x^6 / x^3 (x^3)^2

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