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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).

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Q: What is a rule that works for multiplying powers of the same base in exponents?
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Related questions

When multiplying number do you add the exponents?

If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.


When multiplying terms with the same base you do what to the exponents?

Sum the exponents.


What you do with the exponents when you you are multiplying?

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


How do you simplify exponents or powers in algebra?

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


What do you with two negative exponents when multiplying?

I presume you mean you are multiplying two powers of the same base, where both exponents are negative. Regardless of the signs of the exponents, you algebraically add the exponents. For example, 2-3 times 2-4 is 2-7; 35 times 3-8 is 3-3.


When multiplying variables with the same base what do you do with the exponents?

You add them.


When multiplying a number exponents that are squared do you add or multiply?

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


What does it mean to multiply two powers having the same base and add the exponents?

This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.


When do add exponents?

when you multiply powers with the same base.


Why don't we change the exponents during like terms?

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).


What are numbers expressed using exponents called?

Numbers expressed using exponents are called powers. When writing a number expressed as an exponent, the number is called the base. For example, in 23 two is the base.


Do you add exponents if they have the same base?

Yes but only if its multiplying, lets say its 4 to the 2nd power times 4 to the 3rd power that would be 4 to the 5th power because u keep the base and add the exponents