can you combine like terms with different exponents ?

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can you combine like terms with different exponents ?

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https://www.expii.com/t/combining-like-terms-with-exponents-rules-examples-8981

https://www.expii.com/t/combining-like-terms-with-exponents-rules-examples-8981
Combining Like Terms with Exponents — Rules & Examples – Expii
Combine terms with the same variable and the same exponent. Remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them.. Terms with exponents work exactly the same way! You can only the exact same variable and the exact same , so only …
Combine Like Terms
Similarly, 2x and 2×2 wouldn’t be like terms because while they have the same variables, the variable is raised to different powers. This can get easily confused with multiplying exponents. It also gets confused with raising a power to a power. We can only combine terms if they’re alike. So we can combine 2x+3x but can’t combine 2x+2y.

https://math.stackexchange.com/questions/361710/why-cant-you-add-terms-with-different-exponents

https://math.stackexchange.com/questions/361710/why-cant-you-add-terms-with-different-exponents
Why can’t you add terms with different exponents?
When evaluating algebraic expressions, 1) you can add together like terms. 3×5 + 6×5 = 9×5, but you cannot add together different terms: 2×4 + 3×5, because these have different exponents. 2) you can multiple different terms: 2×4 ⋅ 3×5 = 6×9. When you multiple terms, the exponents are added together. Why can’t you add …

https://www.mashupmath.com / blog / combining-like-terms

https://www.mashupmath.com / blog / combining-like-terms
Combining Like Terms Explained—Examples, Worksheet Included
15 mars 2023Combining Like Terms Definition. Now that you understand what are terms in math, you are ready to learn how to combine like terms. Combining Like Terms Definition: Combining like terms is the act of simplifying an algebraic expression by either adding or subtracting terms that have the same variables and/or . Before we look at a simple numerical example, lets take a look at the fruit …

https://courses.lumenlearning.com/waymakercollegealgebracorequisite/chapter/order-of-operations-and-combining-like-terms

https://courses.lumenlearning.com/waymakercollegealgebracorequisite/chapter/order-of-operations-and-combining-like-terms
Combining Like Terms and Order of Operations
The symbols used to denote operations are called operators, such as +,−,×,÷ +, −, ×, ÷. As you learn more math, you will learn more operators. term: Examples of terms would be 2x 2 x and −3 2 − 3 2 or a3 a 3. Even lone integers can be a term, like 0 0. expression: A mathematical expression is one that connects …

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/v/combining-like-terms-1

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/v/combining-like-terms-1
Combining like terms (video) | Khan Academy
To combine like terms, you want to first reorder the terms so the powers are from highest to lowest. -x^4 – 5x^4 -7x^3 + 2x^3 – 8x^2 – 6x^2. The like terms can be combined. That is, the terms with the same power can be combined. I’ll write it with parenthesis first to show which ones can be combined.

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder
Combining like terms review (article) | Khan Academy
I confirmed this by substituting each value in the equation to see if the 2 sides are equal. In both cases, the 2 sides are unequal. Here’s correct solution: 1) Combine like terms on right side: 3x-12 = 5x+2. 2) Subtract 3x from both sides: -12 = 2x + 2. 3) Subtract 2 from both sides: -14 = 2x. 4) Divide both sides by 2: -7 = x. Checking solution:

https://solvelymath.com/articles/combine-like-terms

https://solvelymath.com/articles/combine-like-terms
Combine Like Terms – Definition, Solved Examples, FAQ – SolvelyMath
19 févr. 2024How to combine like terms with exponents. Combining like terms with exponents follows the same principle as combining regular like terms: you can only combine terms with exactly the same variable raised to the same power. Here’s how you do it: Step 1: Identify Like Terms. Identify that have the same variable(s) raised to the same power(s).

https://www.mathbootcamps.com/combining-like-terms

https://www.mathbootcamps.com/combining-like-terms
Combining like terms – MathBootCamps
Like terms are terms that have the same exponent AND the same variable or variables. For example, (2x) and (-5x) are like terms, and (3y^2) and (y^2) are like terms. Combining like terms is a way of simplifying an algebraic expression or equation. In the lesson below, we will see a few examples of how this works! [adsenseWide]

https://www.varsitytutors.com/hotmath/hotmath_help/topics/combining-like-terms-with-exponents

https://www.varsitytutors.com/hotmath/hotmath_help/topics/combining-like-terms-with-exponents
Combining (Gathering) Like Terms with Exponents – Varsity Tutors
Combining (Gathering) Like Terms with Exponents. The terms of an expression are the parts of a mathematical expression that are separated by a plus (+) or minus (-) sign. Each term is either a number or the product of a number (sometimes an understood 1 1 ) and one or more variables. The four terms of the above expression are 3x2y 3 x 2 y …

https://math.libretexts.org/Courses/Highline_College/Math_081:_Introduction_to_Algebra/06:_Expressions_and_Equations/6.02:_Combining_Like_Terms

https://math.libretexts.org/Courses/Highline_College/Math_081:_Introduction_to_Algebra/06:_Expressions_and_Equations/6.02:_Combining_Like_Terms
6.2: Combining Like Terms – Mathematics LibreTexts
Example 4. Use the distributive property to combine like terms (if possible) in each of the following expressions: (a) −5 x2 − 9 x2, (b) −5 ab + 7 ab, (c) 4 y3 − 7 y2, and (d) 3 xy2 − 7 xy2. Solution. If the terms are like terms, you can use the distributive property to factor out the common variable part.
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