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What is an algebraic expression that is the sum of one or more terms containing whole number exponents on the variables?
polynomial
What is the sum of the exponents for two variables called?
The sum of the exponents for two variables in a polynomial or algebraic expression is called the degree of the term. For example, in the term (x^m y^n), the degree is (m + n). This concept helps determine the overall degree of the polynomial when combining multiple terms.
When subtracting what to do with the exponents?
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
What is degree of monomial?
The degree of a monomial is the sum of the exponents of its variables. For example, in the monomial (3x^2y^3), the degree is (2 + 3 = 5). If a monomial has no variables, such as the constant (7), its degree is considered to be (0).
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
What is the sum of the exponents of the variables of a monomial is the of the monomial?
The degree of a term is the sum of the exponents on the variables.
What is The sum of the exponents on the variables in a term?
Degree of a Polynomial
Write a trinomial with degree 7?
the degree of trinomial is the sum of the variables exponents
What is an algebraic expression that is the sum of one or more terms containing whole number exponents on the variables?
polynomial
What is the sum of the exponents for two variables called?
The sum of the exponents for two variables in a polynomial or algebraic expression is called the degree of the term. For example, in the term (x^m y^n), the degree is (m + n). This concept helps determine the overall degree of the polynomial when combining multiple terms.
Are there variables in exponents?
In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.
When subtracting what to do with the exponents?
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
How do you subtract like variables with different exponents?
You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
When multiplying 2 or more variables with exponents what do you do with the exponents?
You add the exponents- x^2*x^6=x^8
When adding variables with exponents do you add or subtract the exponents?
When adding variables with exponents, you do neither. You only add the exponents if #1 The variables are the same character (such as they are both "a") #2 You are multiplying the variables (NOT ADDING, SUBTRACTING, OR DIVIDING) Using a simple concrete case may make this clearer: 10+2 times 10+3 equals 10+5 ( 100 times 1000 equals 100,000).
