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Q: When dividing two terms with the same base what do you do to the exponents?

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Sum the exponents.

i guess u subtract the exponents

When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

like terms

like terms

It is the base raised to the exponent used in the numerator minus the exponent for the denominator. That is, a^x / a^y = a^(x-y)

The exponents are added.

when dividing the same variable or constant with exponents, subtract the exponents. EX: x6 / x4 = x2

it doesn't

If you have the same base on both of the exponents that you are dividing, all you have to do is subtract the exponent. For example if I have a problem like: 66/ 63, your answer will be 63.

10^4 * 10^7 = 10^11 When multiplying exponents with the same base (in this case, 10), you add the exponents (4+7). If you were dividing, you'd subtract the exponents.

like terms

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

are known as like terms.

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

You add them.

when you multiply powers with the same base.

They are known as like terms.

The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10

Exponents are higher in priority in terms of the order of operations, and do not combine in the same way as you would simple add/subtract/multiply/divide. So, if you have: 26 + 24 This is a polynomial in base 2 with different powers. It would be this in binary: 1010000 ...which would not be the same as 210: 1000000000 In order to be able to change exponents, you have to be multiplying factors using the same base, as in: 26 * 24 = 210 ...because the exponents are also indicating how many times you are multiplying each base by itself, and multiplication is the same as the basal function of the exponent (repeated multiplication).

If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.

Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.Since the base is the same, just add the exponents. 59 x 57 = 516.

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

If the base numbers or variables are the same, you add the exponents.

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

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