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Simpifly the following:

2^100 + 2^95 / 2^100 - 2^95


answer = 33/31

can't get this answers can someone please help me out

2007-12-24 01:01:55 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

Due to basic error in not using brackets, question may be read in a number of different ways.

Will try:-
( 2^(100) + 2^95 ) / ( 2^100 - 2^95 )
[ 2^(95) (2^5 + 1) ] / [ 2^95(2^5 - 1) ]
( 2^5 + 1 ) / ( 2^5 - 1 )
33 / 31

PS
Remember brackets for next year and thereafter!
Good luck.

2007-12-24 01:44:28 · answer #1 · answered by Como 7 · 2 0

Its not tough.
2^100 + 2^95 / 2^100 - 2^95
=2^95(2^5+1)/2^95(2^5-1)
Here, 2^95 cancels out from Numerator and Denominator
2^5=32
So, it becomes
32+1/32-1
=33/31

I told you its easy. Don't get afraid when you see such numbers. When numbers are big, there will be an easy way. Its so simple. Giving Best Answer is always welcomed and thank you.

2007-12-24 09:17:19 · answer #2 · answered by Faheem 4 · 0 0

2^100 + 2^95 / 2^100- 2^95 = 2^95(2^5+1) / 2^95(2^5-1)
=(32+1) / (32-1) = 33/31
[ use 2^100= 2^95 x 2^5]

2007-12-24 09:18:33 · answer #3 · answered by Anonymous · 0 0

(2^100 + 2^95)/(2^100-2^95) =

2^95(2^5 + 1)/2^95(2^5 - 1) = (2^5 +1)/(2^5 - 1) =

(32 + 1)/(32 - 1) = 33/31
~~~

2007-12-24 09:09:57 · answer #4 · answered by A Little Sarcasm Helps 5 · 0 0

2^95(2^5+1) / (2^95(2^5-1)
= (2^5+1)/(2^5-1)
= 33/31

2007-12-24 09:11:52 · answer #5 · answered by Nancy S 1 · 0 0

Its not tough..Only take 2^95 common..Cancel from numertor and denominator..33/31 will be be ur answer

2007-12-24 09:31:33 · answer #6 · answered by Adeel 2 · 0 0

assume dat the value is x
then apply componendo dividendo
then you will get the answer on simplifying

2007-12-24 09:14:15 · answer #7 · answered by shiti 2 · 0 1

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