Final answer:
To simplify the given expression -4n^p^3 * -p^0 * -2p^m^2^n^0, we multiply the coefficients, knowing that a negative times a negative is a positive, and omit any terms with ^0 as they equal 1. The simplified expression is 8n^p^3p^m^2.
Step-by-step explanation:
The student has asked to simplify an algebraic expression involving exponents: -4n^p^3 * -2p^m^2^n^0. First, recall that any term raised to the zero power is equal to 1; therefore, p^0 and n^0 both equal 1 and can be ignored in simplification. Additionally, multiplying negative numbers will result in a positive number. Now we will simplify the expression step by step.
Begin by simplifying the exponents and coefficients:
- -4 * -2 = 8 (Multiplying two negative numbers gives a positive result)
- Since n^0 = 1 and does not influence the expression, we can ignore it.
- We can also ignore p^0 = 1.
- Combine the n terms, which is just n^p^3 since n^0 = 1.
- Combine the p terms, which here are simply p^m^2.
So, the simplified expression is 8n^p^3p^m^2.