matlab code to find out how many unique terms are in the sequence generated by a^b for 2<=a<=100 and 2<=b=100

how?

Answer 1

[Image Analyst]

I hope this isn't your homework (you did not tag it as such). Here is my answer:

a = 2:100
b = 2 : 100
[A, B] = meshgrid(a,b)
z = A .^ B;
fprintf('Total number of elements = %d\n', numel(z));
fprintf('Total number of unique elements = %d\n', length(unique(z)));

[Matt J]

To avoid meshgrid and reduce memory consumption,

 z=bsxfun(@power,a(:),b(:).');