Simplify the expression (4x²)(3x³).

To simplify the expression (4x²)(3x³), you use the properties of multiplication for both the coefficients (the numerical parts) and the variables.

First, multiply the coefficients: 4 and 3. This gives you: 4 * 3 = 12.

Next, consider the variable part, which involves adding the exponents according to the rule of exponents that states when you multiply like bases, you add their exponents. Here, the bases are both x, so you take the exponents 2 and 3: x² * x³ = x^(2+3) = x⁵.

Now, combine the results from both parts: 12 * x⁵ = 12x⁵.

Therefore, the simplified expression is 12x⁵. This is why the answer is correct.