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Question

Evaluate :     `(256)^0.16  xx (16)^0.18`


Options:
A .  2
B .  3
C .  4
D .  5
Answer: Option C

Sol.        `(256)^0.18  xx (16)^ 0.18`

              = `[(16^2)^0.16 xx (16)^0.16]`

              = `(16)^(2 xx 0.16) xx (16)^0.18`

             = `(16)^0.32 xx (16)^0.18`

            = `(16)^(0.32 + 0.18)`

            = `(16)^0.5`       = `(16)^(1/2) = 4`  



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