Question

What is the correct value of 3^2^85 = ?
a) 9^85
b) 3^4^84
c) 9^4^42
d) 9^2^42

Answer 1

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

Answer 2

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

Answer 3

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