x^3cdot x^2 12(x^2)^3 (x^3)^2 3x^3+6x

Let's go through each expression step by step:1. When multiplying expressions with the same base, you add the exponents: 2. \( 12(x^{2})^{3} \)First, apply the power rule \((a^m)^n = a^{mn}\): Then multiply by 12: 3. \( (x^{3})^{2} \)Apply the power rule \((a^m)^n = a^{mn}\): 4. This expression is already simplified and does not require any further steps.So, the simplified forms of the given expressions are:1. 2. 3. 4.