What is the correct value of 3^2^85 = ? a) 9^85 b) 3^4^84 c) 9^4^42 d) 9^2^42
3^2^85 assuming the question to be 3^(2^85) =>3^(2*(2^85)/2)=>9^((2^85)/2)=>9^(2^84)=>9^(4^42 ) hence the answer C 9^4^42
3^(2^85) which is none of the above i have checked how matlab gives preference to operators at different places. it gives same answer for 3^2 ^5 and 3^32
I think the answer is c) since:
3^2^85 = 3^(2*2^84) = (3^2)^2^84 = 9^2^84 = 9^(2^(2*42)) = 9^((2^2)^42) = 9^4^42
2*2^84
(3^2)
2^(2*42)
(2^2)^42