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Q: How do you combine same variables with different powers?

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No. Like terms should contain the same variable or variables, raised to the same powers. Like terms are those that can be combined by addition or subtraction.

It depend entirely on the expressions you are comparing.

Like terms.

They are called "like terms".

The idea here is to combine terms that have the same variable (or, in more complicated cases, the same combination of variables). For example, 3a + 2a is the same as 5a.

To combine like terms in an algebraic equation, first of all, the variables must be the same. Ex. 2x +3x =5x 2x +3a= not able to do This is because you cannot compare things of two different kinds. Also, you must have the same amount of exponents, or the numbers must be to the same power.

they combine with themselves atoms of different elements connot combine with each other wothout making a new molecule

Constants stays the same independent variables is the variable that is being manipulated

you take numbers with the same variables and combine them together. ex. 2x+6x-10=30 combine 2x and 6x by adding 8x-10=30

You can't. You can only subtract like terms. Like terms must have exactly the same variables and exponents on the variables.

Two terms that have the same variables and you can combine them in addition. For example, 3x and 34x have the same variable, and when you add them, they combine to form 37x. 4y and 4 do not have the same variable and you cannot combine them in addition. For example, 4y + 4 equals 4y + 4; it cannot be simplified or combined.

They are not. Exponents, powers and indices are terms used for the same thing.

Use the properties of powers. In this case, you can combine powers with the same base, by simply adding the exponents.

well, if you want to add apples to bananas you can't do that it's the same with variables, the coefficients can be different but to add and subtract the variables have to be the same for ex: you can't do 4x+3y because they have different variables you can do 4x+3x because they have the same variables all you do is add the coefficients and keep the variable so you would get 7x

Constants are fixed numbers that never change, they always stay the same. Variables are number that can change, they 'Vary'.

By vector addition

Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.

That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)

it means to put together the terms that have the same variable. so if you had the equation: 2x+4y+5x it would simplify to 7x+4y because you would combine to the two x-variables.

There are several possibilities. They can be called arguments and there are two kinds, variables and constants. Variables can have different values and constants are always the same.

no

The variables may have different values.

They have the same form for any variables, but the numerical coefficients can be different.

The Law of Definite Proportions says that a given chemical compound always contains the same proportion by mass of its constituent elements. This is NOT the same as saying that elements always combine in a specific ratio, because they can combine in different ratios in different compounds. An example of this might be copper oxide which can be CuO or Cu2O, showing a different ratio of copper to oxygen. So, the answer to the question, as asked, is no, elements do not always combine in specific ratios.

Yes: The elements carbon and hydrogen can combine to form the many compounds known as hydrocarbons.