Polynomials -my question is 1/4 p^3 + 2/3 p^3 My answer is 11p3/12 How come I have to put p^3 on th

Algebra
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I have to do polynomials 

my question is 1/4 p^3 + 2/3 p^3

My answer is 11p3/12 

How come I have to put p^3 on the numerator but not the denominator? If the exponent is positive is goes on top always, if not then bring it down and make it positive?  

Apr 23rd, 2015

will get back to you..........................................

Apr 23rd, 2015

PFA the document for more details.....

New Doc 2(2).pdf

Hope this clarifies your doubt. If you are not clear yet, Please feel free to ask me.




Apr 24th, 2015

Thanks for the reply.  However the second part I'm a bit lost, mind extending it a bit more for me?  

Apr 24th, 2015

no problem tell me

Apr 24th, 2015

If the problem had a p^-3 instead, why would it become 1/p^3 ?  I know the 3 would go to the bottom and become positive, however I don't know how you got 1 over it.  

Apr 24th, 2015

By the way I'm leaving the libaray soon. 

Apr 24th, 2015

Any thing ( number or variable) raised to 0 is 1.

so p^0 is 1.

Also p^m /p^n = p^ (m-n)

so if u want to do p^5 /p^1 = p^(5-1) = p^4

so we will verify p^-3 is 1/p^3 or not now...

p^-3 can be written as p^(0-3) = p^0/p^3 

p^0 is 1. so the above becomes 1/p^3


Apr 24th, 2015

Wait..  If the problem was 2/3 p^-3 + 1/4p^-3, wouldn't the answer be 11/12 p^3 ?

Because the rules of exponents says that a negative exponent can't be above the denominator but rather with it and changed to positive.   

Apr 24th, 2015

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