Question:

Step 1: Identify the fundamental property related to the determinant of a product of matrices. The question asks about the relationship between the determinant of a product of two matrices and the determinants of the individual matrices. This relationship is described by a fundamental property in linear algebra. Step 2: State the determinant multiplication theorem. For any two square matrices $A$ and $B$ of the same order, the determinant of their product, $\det(AB)$, is equal to the product of their individual determinants, $\det(A)$ and $\det(B)$. Step 3: Apply the theorem to find the relationship. According to the determinant multiplication theorem, the determinant of the product of two matrices $A$ and $B$ is given by the formula: $$ \det(AB) = \det(A) \times \det(B) $$ This equation shows that the determinant of the product of two matrices is the product of their individual determinants. Step 4: Conclude the final answer. Based on the determinant multiplication theorem, if a determinant is the product of two matrices, then its value is the product of their determinants. The final answer is $\boxed{\text{product of determinants}}$.