Q. √ √ √ 8^32 = ? // Q. (√ √ √ √ 3)^64
Short Trick
Q. √√√ 832
There are 3 square roots, so divide the exponent by 23 = 8
= 832/8 = 84 = (23)4 = 212 = 4096
Ans: 4096
Q. (√ √ √ √ 3)^64
There are 4 square roots.
(√ √ √ √ 3)^64 = 3 ½^4 = 31/16
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Q. (√ √ √ √ 3)^64
There are 4 square roots.
√ √ √ √ 3 = 31/2^4 = 31/16
Therefore, (31/16)64 = 364/16 = 34
