Mathematics
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OpenStudy (kanwal32):
Can anyone simplify this for me
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OpenStudy (kanwal32):
\[\frac{ 2^{n-1}+2n-1 }{ 26{n} }\]
OpenStudy (kanwal32):
its 2^n
ganeshie8 (ganeshie8):
\[\large \frac{ 2^{n-1}+2^n-1 }{ 26{n} }\]
like this ?
OpenStudy (kanwal32):
no its\[\frac{ 2^{n-1}+2n-1 }{ 2^n }\]
OpenStudy (precal):
use the laws of exponents
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OpenStudy (precal):
\[\frac{ b^a }{ b^c }=b ^{a-c}\]
OpenStudy (precal):
you have the same base for the first two
OpenStudy (kanwal32):
yes
OpenStudy (precal):
ok tell me what you get and we can check it for you
OpenStudy (kanwal32):
the answer is 2^-n+n-1
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OpenStudy (precal):
is your middle term 2n or 2^n? on your original question
OpenStudy (kanwal32):
\[2^{n}+n-1\]
OpenStudy (precal):
no I want to go back to your original posting first to make sure I am checking you correctly
OpenStudy (precal):
\[\frac{ 2^{n-1} +2^n-1}{ 2^n}\]
OpenStudy (precal):
is this the original question?
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OpenStudy (precal):
or is that middle term 2n
OpenStudy (kanwal32):
sorry
OpenStudy (kanwal32):
\[\frac{ 2^n+2n-1 }{ 2^n }\]
OpenStudy (precal):
ok what happen to n-1 on the top one
OpenStudy (kanwal32):
i am sorry
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OpenStudy (precal):
no I just need to know the original problem do you want to type it again. I want to make sure you get the correct solution
OpenStudy (precal):
take your time
OpenStudy (kanwal32):
now pls simplify
OpenStudy (kanwal32):
@ganeshie8
OpenStudy (precal):
I can help you but I need to double check your original because you have given different versions. Please write your original for me.
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OpenStudy (kanwal32):
yes i have checked
OpenStudy (abmon98):
\[2^-n(2^n+2n-1)\]
\[2^n*2^-n=1\]
\[1/2^n*2n\] \[2n/2^n=2n^-2n\]
\[-1*1/2^n=-2^-n\]
1+2n^-2n-2^-n
OpenStudy (abmon98):
Iam not sure if this is right or not
OpenStudy (abmon98):
\[1+2n/2^n-1/2^n\]
\[2^n+2n/2^n-1/2^n\]