State whether a given pair of terms is of like or unlike terms: $4 m^{2} p, 4 m p^{2}$ .

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Solution

Verify the given statement:
The term "like terms" in algebra refers to terms that have the same variable raised to the same power.
Only the numerical coefficients can vary in terms that are similar to algebra.
Given pair of terms is $4 m^{2} p, 4 m p^{2}$
Here both terms does not have same variable i.e. $m^{2} p \neq m p^{2}$ and raised to different exponents. Thus they are unlike terms.
Hence the given pair of terms are unlike terms.

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