When you add like terms in algebra, you combine their coefficients while keeping the variable and its exponent the same. The exponents themselves do not change; they remain constant as long as the terms are indeed "like" (i.e., they have the same base and exponent). For example, in the expression (3x^2 + 2x^2), you add the coefficients (3 and 2) to get (5x^2).
Just multiply the coefficients, leave the variable the same, and add the exponents.
No.
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
If you have like terms then to multiply you add the exponents and to divide you subtract.So, x2 * x3 = x5 and y7 / y5 = y2Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)But if you do not have like terms then this does not apply.For example, x2 * y3 does not equal xy5.
like terms
Just multiply the coefficients, leave the variable the same, and add the exponents.
No.
It depends on whether you are working with variables. You cannot add terms with variables that have unlike exponents.
If you have like terms then to multiply you add the exponents and to divide you subtract.So, x2 * x3 = x5 and y7 / y5 = y2Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)But if you do not have like terms then this does not apply.For example, x2 * y3 does not equal xy5.
You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.
like terms
like terms
like terms
are known as like terms.
you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.
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.