Which of the following is equal to 2^12-2^6/2^6-2^3? A.2^6+2^3 B.2^6-2^3 C.2^9 D.2^3 E.2

You should write parenthesis, it could be confusing. 2^12 - 2^6 = (2^6)^2 - (2^3)^2 = (2^6+2^3)(2^6-2^3) You put it in your numerator and delete both 2^6-2^3 So it is 2^6+2^3

I think this problem has been solved in the forum. 2^12 - 2 ^ 6 = (2^6+2^3) (2^6-2^3) [ a ^ 2 - b ^ 2 = (a+b) (a-b)] 2^6-2^3 cancels out in the NUMERATOR AND DENOMINATOR leaving 2^6+2^3 as the answer Hope this helps!

:!: ...still a beginner.... But can someone tell me why it cant be solved this way ?! 2^6 ( 2^2 -1 ) / 2^3 ( 2^2 -1 ) = 2^6 / 2^3 = 2^3 :!:

I got the same answer as divs. Can any explain why this is wrong?

I think you guys are trying to multiple exponents with same base. While exponents are added/subtracted with same base not multipled

divs wrote::!: ...still a beginner.... But can someone tell me why it cant be solved this way ?! 2^6 ( 2^2 -1 ) / 2^3 ( 2^2 -1 ) = 2^6 / 2^3 = 2^3 :!: (2^6 ) (2^2) is not the same as 2^12 Remember that when you multiply integers with exponents , the exponents add together , they do NOT multiply themselves Therefore (2^6)(2^2) = 2^8 is not the same as (2^6)(2^6) = 2^12 Be careful this GMAT Creators know about this easy mistakes

sheeezz !!! Thanks Hope700.... !! that was a stupid goof up.... :roll:

Ya straight forward But again !! u never know the trap ! or the mistake we make Vishu

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