15) \( 20 m^{4} n^{8}, 12 m^{2} n^{4}, 8 m^{8} n^{3} p \)

To solve this study problem, we need to perform operations on the given terms. Since the terms are not combined with any arithmetic operations, we can assume that we are to compare them, factor them, or simplify them. Let's consider a few different operations that could be relevant: 1. **Comparison**: If we are to compare the terms, we can look at their coefficients and the exponents of the variables. 2. **Factoring**: If we are to factor the terms, we would look for common factors among the terms. 3. **Simplification**: If we are to simplify the terms, we would look for ways to combine like terms or reduce the exponents. Since the problem does not specify which operation to perform, I will provide examples of each: ### Comparison We can compare the terms by looking at their coefficients and the exponents of the variables \( m \) and \( n \): - \( 20 m^{4} n^{8} \) - \( 12 m^{2} n^{4} \) - \( 8 m^{8} n^{3} p \) ### Factoring To factor the terms, we would look for common factors. However, these terms do not have any common factors in their coefficients or variables. Therefore, they cannot be factored further. ### Simplification Since the terms are not like terms (they do not have the same variables raised to the same powers), they cannot be simplified by combining like terms. If you have a specific operation in mind or a particular question related to these terms, please provide more details so that I can assist you further.