No, 4xy^3 and -5x^3y are not like terms.
Like terms in algebra share the same variables and exponents, allowing them to be combined or added together. In the given expressions, 4xy^3 and −5x^3 y, the terms have different arrangements of variables and exponents.
In 4xy^3, the variables are x and y with exponents 1 and 3, respectively. On the other hand, in −5x^3y, the variables are x and y with exponents 3 and 1, respectively. While both expressions involve the variables x and y, the order of the variables and the exponents differs between the two terms.
For terms to be considered like terms, the variables must be the same, and the corresponding exponents must match. Since 4xy^3 and −5x^3 y do not meet these criteria, they are not like terms.
Complete ques:
Are 4xy^3 and -5x^3y like terms?