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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).
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When subtracting variables with exponents do you add or subtract the exponenets?
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
When you add polynomials what do you do with your exponents?
Nothing. The exponents are not affected when added polynomials. However, they play a role in which variables add or subtract another variable. For example. (3x^2+5x-6)+(4x^2-3x+4) The exponents would determine that when adding these polynomials that 3x^2 would be added to 4x^2 and so forth 5x-3x and finally -6 would be added to 4. With a final conclusion of (7x^2+2x-2)
How do we know if we have to multiply or add exponents if the bases are the same?
You have to add the exponents. It's best if you just remember it. You can also consider what happens when you multiply something like:(2 x 2 x 2) x (2 x 2) As you can notice, the number of factors get added. That's like adding the exponents.
When multiplying a number with exponents do you add or multiply the exponents?
You add exponents when multiplying. Ex: (xm) × (xn) = xm+n
What is a rule that works for multiplying powers of the same base in exponents?
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
