What is the simplified form of (3x²)(4x³)?

To simplify the expression (3x²)(4x³), you start by applying the associative and commutative properties of multiplication.

First, multiply the coefficients (the numerical parts) together:

3 * 4 = 12.

Next, for the variables with exponents, you add the exponents when you multiply like bases:

x² * x³ = x^(2+3) = x⁵.

Combining both parts, the simplified expression becomes:

12x⁵.

Thus, the correct answer is 12x⁵, which matches the answer choice provided. This process of multiplying coefficients and adding exponents is a foundational principle in algebra that helps in simplifying polynomial expressions.