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What else can I help you with?
If you have 10 to the power of 6 and 10 to the power of 9 what is the product?
10 to the power of 15 when multiplying items with the same base (in this case 10) you simply add the powers
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
When multiplying two terms with the same base what do you do to the exponents?
When multiplying two terms with the same base, you add the exponents. For example, if you have ( a^m \times a^n ), the result is ( a^{m+n} ). This rule applies to any non-zero base.
What does base to the zero power mean?
If something is to the 0 power it is 1 because you arent multiplying anything.
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 with the same base you?
Add the indices
If you have 10 to the power of 6 and 10 to the power of 9 what is the product?
10 to the power of 15 when multiplying items with the same base (in this case 10) you simply add the powers
When multiplying variables with the same base what do you do with the exponents?
You add them.
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
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
What does base to the zero power mean?
If something is to the 0 power it is 1 because you arent multiplying anything.
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.
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.
What is multiplying the base number by itself once or many times?
Same as multiplying any number by itself once or many times.
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.
What is 5 to the power 6 times 5 to the power 8 simplified?
When multiplying two exponents with the same base, you add the exponents. Therefore, 5 to the power 6 times 5 to the power 8 is simplified to 5 to the power (6+8) which is equal to 5 to the power 14.
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).
