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19 Sep 2022, 18:11
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Hi experts,
I am still very confused on this exponent rule after looking through the form/doing OG exponent problems. I am hoping to clarify what exactly "same base" means.
For instance, if I have
3x^2 +2x^3 =?
Does it not equal 5x^5 because 2x and 3x are not the same base even though they both have xs?
What if you have
2x^2 + 4x^2=?
Can you do 6x^2 even though the coefficients before the x^2 are different?
I realize that this is a simple question, but this rule gets me
Thank you in advance.
I am still very confused on this exponent rule after looking through the form/doing OG exponent problems. I am hoping to clarify what exactly "same base" means.
For instance, if I have
3x^2 +2x^3 =?
Does it not equal 5x^5 because 2x and 3x are not the same base even though they both have xs?
What if you have
2x^2 + 4x^2=?
Can you do 6x^2 even though the coefficients before the x^2 are different?
I realize that this is a simple question, but this rule gets me
Thank you in advance.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
19 Sep 2022, 20:21
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woohoo921
The exponent rules will not apply in any of the above cases as you are dealing with ‘+’ sign.
So, to answer your query, let us take the two instances
\(2^x*3^x=(2*3)^x=6^x\), that is the base will get multiplied when the exponent is the same.
WHY? \(2^3*3^3=2*2*2*3*3*3=(2*3)*(2*3)*(2*3)=(2*3)^3\)
\(x^2*x^3=x^{2+3}=x^5\), that is the exponent will get added when base is same.
WHY? \(x^2*x^3=(x*x)*(x*x*x)=x^5\)
19 Sep 2022, 20:35
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chetan2u
Thank you so much for your response!
To make sure that I am on the same page, if the questions I had above were switched to multiplication...would the following be correct?
(3x^2)(2x^3) =6x^5
(2x^2)(4x^2)=6x^4
Does the rule you have only apply to multiplication (not addition nor subtraction)?
Thank you again.
