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Ibelievethat the question you mean to ask is "How do you multiply powers withdifferentbases?" As an exponent is the number raised to denote repeated multiplication of a base, and a power is a short for of writing repeated multiplication of a number by itself.

In order to do this we should use an example such as this:

(8^4+2a)(16^a-1)


In order to solve this, we would need to find the solution to (8^4+2a)(16^a-1)


Whenever multiplying two powers and the bases are different, we always want to make the bases the same. We cannot do anything to this equation until the bases are the same, so the equation becomes

(8^4+2a)(16^a-1)-------> (2^3)^4+2a · (2^4)^a-1


Next we multiply the exponent inside with the exponents outside of each pair of brackets and we get 2^12+6a · 2^-4+4a


We have now made the bases the same! And our solution is 2^8+10a

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Q: How do you multiply exponents with different bases?
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Related questions

When you are multiplying exponents do you only add the exponents or do you also multiply the bases?

Add the exponents


How do you multiply exponents when the bases are not the same?

u cant they have to be the same (:


When you have two different exponents do you add them or multiply them?

Multiply


When you multiply polynomials what do you do with the exponents?

Add them up providing that the bases are the same.


How do you multiply two different number with two different exponents?

the answer is simple you can not


What is the relationship between the exponents of the base and the exponent of the product?

when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question


When adding polynomials what do you do to the exponents?

You keep them the same if they have different bases


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 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 you raise a power to a power what do you do with the exponents?

You multiply the exponents.


What happens when you multiply two variables with different exponents?

When you multiply two variables with different exponents, the exponents are added. For example, if you multiply x^2 by x^3, the result is x^(2+3) = x^5. Similarly, if you multiply x^3 by x^(-2), the result is x^(3+(-2)) = x^1 = x.


How do we know if we have to multiply or add exponents if the bases are the same?

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.