Question

Choose the monomial among the following which has a degree $5$.

• A. $12x{y}^3$
• B. $19x^{2}y$
• C. $15xy$
• D. $23x^2{y}^3$

Answer 1

The correct option is D $23x^2{y}^3$

The degree of a monomial is the sum of the exponents of all of its variables.

In option (a.), we have $12x{y}^3$.
Exponent of $x=1$
Exponent of $y=3$
Degree of the monomial $12x{y}^3=1+3=4$

The degree of the monomial $12x{y}^3$ is $4$.


In option (b.), we have $19x^{2}y$.
Exponent of $x=2$
Exponent of $y=1$
Degree of the monomial $19x^{2}y=2+1=3$

The degree of the monomial $19x^{2}y$ is $3$.


In option (c.), we have $15xy$.
Exponent of $x=1$
Exponent of $y=1$
Degree of the monomial $15xy=1+1=2$

The degree of the monomial $15xy$ is $2$.


In option (d.), we have $23x^2{y}^3$.
Exponent of $x=2$
Exponent of $y=3$
Degree of the monomial $23x^2{y}^3=2+3=5$

The degree of the monomial $23x^2{y}^3$ is $5$.

Therefore, option (d.) is the correct answer.