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anandgoyal
\(a = 2^4·5^4 b = 3^4·11^2 c=2^2·5^6\) Which of the following is true?


a>b>c

b>a>c

b>c>a

c>b>a

c>a>b


\(a = 2^4·5^4 = 10^4\) = 10000
\(b = 3^4·11^2 = 81.121\) ~ 9600
\(c=2^2·5^6 = 10.625\) = 62500

Thus we have - 62500 > 10000 > 9600 Or, c>a>b

Hence , answer will be (E) ...

PS : lawiniecke actual calculation for (B) may not be required , approximation is sufficient here, since the other numbers are wide apart..
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