Find value of: (2)^1.56 * (3)^1.78 * (7)^0.78 * (84)^0.22 = ?

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31 Oct 2017 Root and Power

Find value of:
(2)^1.56 * (3)^1.78 * (7)^0.78 * (84)^0.22 = ?

OPtion

1) 226.00
2) 232.00
3) 239.33
4) 243.08
5) 248.25
6) 254.88
7) 250.00
8) 249.33
9) 2520.0
10) None of these

Solution

(2)^1.56 * (3)^1.78 * (7)^0.78 * (84)^0.22
= (2)^1.56 * (3)^1.78 * (7)^0.78 * (4*3*7)^0.22
= [(2)^1.56 * 4^0.22] * [(3)^1.78 * (3)^0.22] * [(7)^0.78 * (7)^0.22)]
= [(2)^1.56 * 2^0.22 * 2^0.22] * [(3)^1.78 * (3)^0.22] * [(7)^0.78 * (7)^0.22)]
= [2^(1.56+0.22+0.22)] * [3^(1.78+0.22)] * [7^(0.78+0.22)]
= [2^2] * [3^2] *[7^1]
= 4*9*7
= 252

Correct Option: 10 Best Solution (0)