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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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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.


Why add exponents when multiplying powers with same base?

When multiplying powers with the same base, you add the exponents due to the properties of exponents that define multiplication. This is based on the idea that multiplying the same base repeatedly involves combining the total number of times the base is used. For example, (a^m \times a^n = a^{m+n}) because you are effectively multiplying (a) by itself (m) times and then (n) times, resulting in a total of (m+n) multiplications of (a). This rule simplifies calculations and maintains consistency in mathematical operations involving 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 do we add exponents when we multiply terms with the same base?

When multiplying terms with the same base, we add the exponents because of the fundamental property of exponents that states (a^m \times a^n = a^{m+n}). This property arises from the repeated multiplication of the base: for example, (a^m) represents multiplying the base (a) by itself (m) times, and (a^n) represents multiplying it (n) times. Therefore, when these two terms are multiplied, the total number of times the base (a) is multiplied is (m + n).


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.