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You get an expression in two variables which you may or may not be able to simplify.

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6y ago
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1y ago

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.

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Q: What happens when you multiply two variables with different exponents?
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What happens when you change the variables?

If you change the variables in a science experiment, you will probably get different results.


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


What do you do to the exponent when you multiply?

Example(4)2 ( 3)first you take care of the exponent(16)(3)then you times the other numbersYou might mean what happens when you raise and exponent to a power?You multiply the the exponents.


What happens if you divide or multiply a ratio by different numbers?

If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.


Why do you add the exponents instead of multiplying the exponents?

To understand this, you have to think about what an exponent represents. An exponent is a representation of the number of times the base is multiplied by itself. For example: a3 = a × a × a or: a5 = a × a × a × a × a now look at those same two examples, and consider what happens when you multiply them together: a3 × a5 = (a × a × a) × (a × a × a × a × a) The order of operations doesn't matter in this case, as they're all using the same operator. That means we can get rid of those brackets: = a × a × a × a × a × a × a × a = a8 The exponents are multiplied when a term is raised to more than one power. For example: (a2)3 can also be expressed as: (a2) × (a2) × (a2) = (a × a) × (a × a) × (a × a) = a × a × a × a × a × a = a6

Related questions

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.


What happens when you change the variables?

If you change the variables in a science experiment, you will probably get different results.


If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?

The exponents are added.


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


What do you do to the exponent when you multiply?

Example(4)2 ( 3)first you take care of the exponent(16)(3)then you times the other numbersYou might mean what happens when you raise and exponent to a power?You multiply the the exponents.


What happens when you perform arithmetic operations mixing different types of variables in java programming?

Java performs an implicit conversion to a unifying type.


What happens if you multiply two or more exponential terms with like bases?

To combine the powers, you can add the exponents. For example:10^2 times 10^3 = 10^5


What happens if you divide or multiply a ratio by different numbers?

If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.


What happens when you multiply a number by 0.5?

It is halved.


Why do you add the exponents instead of multiplying the exponents?

To understand this, you have to think about what an exponent represents. An exponent is a representation of the number of times the base is multiplied by itself. For example: a3 = a × a × a or: a5 = a × a × a × a × a now look at those same two examples, and consider what happens when you multiply them together: a3 × a5 = (a × a × a) × (a × a × a × a × a) The order of operations doesn't matter in this case, as they're all using the same operator. That means we can get rid of those brackets: = a × a × a × a × a × a × a × a = a8 The exponents are multiplied when a term is raised to more than one power. For example: (a2)3 can also be expressed as: (a2) × (a2) × (a2) = (a × a) × (a × a) × (a × a) = a × a × a × a × a × a = a6


What happens when you multiply or divide by a negative?

the answer becomes negative


What happens if you multiply a fraction by one?

It stays the same.