Question

Which term among the four given terms is not a like term to the other three terms?

• A. $-6p^3{q}^8$
• B. $-4p^8{q}^3$
• C. $-86p^3{q}^8$
• D. $-52p^3{q}^8$

Answer 1

The correct option is B $-4p^8{q}^3$

$\underset{–}{\text{Like Terms:}}$
Like terms in algebra are the terms which contain the same variables raised to the same power (or exponent).

Let's make a table with all of the variables and their exponents for each term.

As per the table, we can see that all the terms have variables $p$ and $q$ with powers $3$ and $8$ respectively except for $-4p^8{q}^3,$ which has variables $p$ and $q$ with powers $8$ and $3,$ respectively.

Therefore, $-4p^8{q}^3$ among the four given terms is an unlike(not like) term.

Hence, option (b.) is the correct choice.