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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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12y ago

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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


How do you multiply exponents with different coefficients?

To multiply exponents with different coefficients, you first multiply the coefficients together and then apply the exponent rule. For example, if you have (a^m) and (b^n), the result of multiplying them is (ab^{mn}). The exponents remain the same unless they have the same base, in which case you add the exponents together. So, (a^m \cdot a^n = a^{m+n}).


What do you do when you multiply two bases that are the same?

When you multiply two bases that are the same, you add their exponents. For example, if you have (a^m \times a^n), the result is (a^{m+n}). This rule applies only when the bases are identical; if the bases differ, you cannot combine them in this way.


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.


Do you add the exponents when they are different with the base?

No, you do not add the exponents when the bases are different. Exponents can only be added or subtracted when they share the same base. For instance, (a^m \cdot a^n) (same base) results in (a^{m+n}), while (a^m \cdot b^n) (different bases) cannot be simplified in that way.


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

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