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Mathematics 8 Online
OpenStudy (anonymous):

Which of the following gives the largest value?

OpenStudy (anonymous):

\[4^{400}\] \[2^{800}\] \[3^{600}\] \[5^{200}\]

imqwerty (imqwerty):

well u can write \[2^{800} \] as \[2^{2(400)}\]=\[4^{400}\] so A nd B are equal nd it is obvious that this is a single correct question so neither A nor B is the answer so now we have C and B we can write C as-\[3^{2(300)}\] =\[9^{300}\]which is greater than \[5^{300}\] so the answer is C

OpenStudy (anonymous):

Ok thanks

imqwerty (imqwerty):

or what u can do is u jst take the 200th root of all of these so now u get -\[4^{400/200} =4^2\]\[2^{800/200}=2^4\]\[3^{600/200}=3^3\]\[5^{200/200}=5^1\]so now u got smaller terms nd now u can compare easily

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