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In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.

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1mo ago

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Can you add unknowns that have coefficients and exponents?

the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)


What is the algebraic variable factors with the same exponents?

sori...........


What is the definition of dissimilar term in algebra?

dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents


How do you solve multiplication with like terms?

Just multiply the coefficients, leave the variable the same, and add the exponents.


How do you find GCF with variables and exponents?

For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.


When dividing variables with exponents subtract exponents?

Yes. When you divide one variable with an exponent from another, you subtract the exponents


Definition of similar terms?

Similar terms or like terms are terms with the exact same variable and the variable have the exact same exponents. So x2 and 2x2 are like terms but x2 and x are not.


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.


What can a monomial fraction NOT have in its denominator?

Variable exponents.


Is x and y like terms?

No. For purposes of combining "like terms", you need terms that have exactly the same variables, with the same exponents (if there are any).


Can you multiply a variable with an exponent with a variable without an exponent?

Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).


What is important when dividing monomials?

Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4