what is the degree of 3s^3t^3?

Question:

What is the degree of {eq}3s^3t^3 {/eq}?

The Degree of a Monomial:

In mathematics, a monomial is a single term of a polynomial, meaning that it is a single term polynomial made up of a product of a number, variables, and/or positive integer powers of variables. The degree of a monomial is defined as the sum of the exponents of all of the variables in the monomial.

Answer and Explanation:

The degree of {eq}3s^{3}t^{3} {/eq} is 6. The expression {eq}3s^{3}t^{3} {/eq} is a monomial, and by the definition of the degree of a monomial, the degree of this monomial will be equal to the sum of the exponents of all of the variables in the monomial. The variables in the monomial are s and t. The exponents of s is 3, and the exponent of t is 3. Therefore, the degree of this monomial is the sum of 3 and 3.

  • Degree = 3 + 3 = 6

We get that the degree of {eq}3s^{3}t^{3} {/eq} is 6.


Learn more about this topic:

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Monomial: Definition, Examples & Factors

from GMAT Prep: Help and Review

Chapter 9 / Lesson 17
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