0
What else can I help you with?
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.
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.
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 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.
What is multiplying the base number by itself once or many times?
Same as multiplying any number by itself once or many times.
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.
