[(2^12)(3^8)(6^10)]^1/9 The valve of the given expression lies between

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31 May 2012 solve

[(2^12)(3^8)(6^10)]^1/9
The valve of the given expression lies between

OPtion

1) 4 to 9
2) 9 to 18
3) 1 to 36
4) 5 to 35
5) 36 to 72
6) 25 to 36
7) 72 to 144
8) 81 to 100
9) 100 to 110
10) none of these

Solution

[(2^12)(3^8)(6^10)]^1/9
= [2^(12+10) * 3^(8+10)]^1/9
= [2^22 * 3^18]^1/9
= [2^2 * 3^2] * 2^(4/9)
= 36 * 2^(4/9)
= 36 * (a number between 1 and 2)

Correct Option: 5 Best Solution (0)