Find value of: (7)^1.35 * (13)^0.35 * (91)^0.65 = ?

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21 Sep 2017 Root and Power

Find value of:
(7)^1.35 * (13)^0.35 * (91)^0.65 = ?

OPtion

1) 631.73
2) 636.37
3) 633.89
4) 632.10
5) 635.93
6) 637.00
7) 634.39
8) 637.53
9) 630.00
10) None of these

Solution

(7)^1.35 * (13)^0.35 * (7*13)^0.65
= (7)^1.35 (7)^0.65 * (13)^0.35 * (13)^0.65
= [(7)^(1.35+0.65)]* [(13)^(0.35+0.65)]
= (7^2) * 13^1
= 637

Correct Option: 6 Best Solution (8)