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How do we know if we have to multiply or add exponents if the bases are the same?
Wiki User
∙ 8y ago
You have to add the exponents. It's best if you just remember it. You can also consider what happens when you multiply something like:(2 x 2 x 2) x (2 x 2)
As you can notice, the number of factors get added. That's like adding the exponents.
Wiki User
∙ 8y ago
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How do you multiply exponents when the bases are not the same?
u cant they have to be the same (:
What is a rule that works for multiplying powers of the same base in exponents?
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).
When multiplying terms with the same base you do what to the exponents?
Sum the exponents.
What are the rules for positive integral exponent?
There are 5 laws: Product Law: This is when the same bases are being multiplied ex. 83 X 82 this is the same as 8x8x8 8x8 when the same bases are being multiplied you just add the exponents so the answer would be 85 Quotient Law: This is when the same bases are being divided. ex. 83 divided by 82 in other words 8x8x8 divided by 8x8 when the same bases are being divided you just subtract the exponents so the answer would be 81 Power of product law: here is an example : (8x3)2 in this problem all you have to do is apply the exponent to each number in side the bracket or multiply the exponent to each exponent inside the brackets, if there is no exponent you assume there is a 1 so you would do 8 1x2 and 3 1x2 and the answer would be 82x32 Power of quotient law: this is the same as the one above, you basically just multiply the exponent to the numbers inside the brackets. So if it was (8 divided by 3)4 you would assume there is an exponent 1 for both the numbers and multiply by four. 8 1x4 divided by 31x4 = 84 divided by 34 Power of a power law: What do you do if there is already an exponent inside the brackets? ex. (84)5 you would do the same thing. You multiply the exponents! if you put the question in standard form it is 8x8x8x8 repeated five times 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 how many 8s are there? 20 how do you solve in a much simpler way? you do 84x5 and get the 820
Do you add exponents or multiply them?
Remember, all numbers have exponents, but most of the time, the exponent is 1 so we can basically ignore it. For example, 2^1 = 2. 2^2 is the same thing as 2^1 X 2^1 or 2 X 2. From this example, you can see that 2^2 = 2^(1+1). 2^3 is the same thing as 2^2 X 2^1 and so on... So, whenever you see two fractions with the same base being multiplied by each other, you add the bases. x^6 X x^3 = x^(^+3) = x^9 For division, you subtract the exponent from the top from the exponent on the bottom. x^6 ----- = x^3 x^3 -------------------------------------------------------------------------- Easy rules: Same base, multiplied, add the exponents and keep the base. EX: (x3 )(x5 ) = x8 multiplying with same base (x) so add the exponents. BUT an exponent raised to an exponent, then multiply. EX: (x3 )5 = x15 , EXPONENT RAISED OT ANOTHER EXPONENT, MULTIPLY.
How do you multiply exponents when the bases are not the same?
u cant they have to be the same (:
When you multiply polynomials what do you do with the exponents?
Add them up providing that the bases are the same.
When multiplying expressions with the exponents you should add the exponents if the are the same?
No.x^2 * y^2 = (x*y)^2You multiply the bases but the exponent remains the same.
What do you do with the exponents when your adding the bases of the number?
nothing, keep the exponents the same, remember you can only add or subtract when the exponents are the same
What does math term madspm stand for?
Multiply-Add Divide-Subtract Power-MultiplyIt's the rule for exponents.If the bases are the same and they're...- multiplied; add the exponents. 22(23) = 25- divided; subtract the exponents (36/34) = 32- raised to a power; multiply the exponents (42)4 = 48
When do add exponents?
when you multiply powers with the same base.
What happens when you multiply an exponent by another exponent?
Assuming the bases are the same, you add the exponents. 10^3 x 10^3 = 10^6
Do you subtract exponents when multiplying?
No you add them if the bases are the same.
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.
When adding polynomials what do you do to the exponents?
You keep them the same if they have different bases
What property can you use to multiply the expressions with exponents?
The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.
How do you solve in exponents laws if the bases are not the same?
Convert all expressions to the same base.
