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What is the rule for multiplying powers with the same base and dividing power with the same base?
When multiplying powers with the same base, you add the exponents: (a^m \times a^n = a^{m+n}). Conversely, when dividing powers with the same base, you subtract the exponents: (a^m \div a^n = a^{m-n}). This rule applies as long as the base (a) is not zero.
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.
What is the rule for multiplying powers with the same base and dividing power with the same base?
When multiplying powers with the same base, you add the exponents: (a^m \times a^n = a^{m+n}). Conversely, when dividing powers with the same base, you subtract the exponents: (a^m \div a^n = a^{m-n}). This rule applies as long as the base (a) is not zero.
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 with the same base you?
Add the indices
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 variables with the same base what do you do with the exponents?
You add them.
When multiplying terms with the same base you do what to the exponents?
Sum 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.
What is true regarding exponents?
Exponents indicate how many times a base number is multiplied by itself. For example, (a^n) means multiplying the base (a) by itself (n) times. Key properties include that any non-zero number raised to the power of zero equals one, and multiplying exponents with the same base involves adding their powers (i.e., (a^m \times a^n = a^{m+n})). Additionally, raising a power to another power involves multiplying the exponents (i.e., ((a^m)^n = a^{m \cdot n})).
What is multiplying the base number by itself once or many times?
Same as multiplying any number by itself once or many times.
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.
