Let a, b and c be positive integers such that a^(b+c) = b^c x c Prove that b is a divisor of c, and that c is of the form d^b for some positive integer d.
I'm not sure how to solve this question at all, I need some help.
Homework Statement
The question says that there is a square that has a side of length 1cm. It then says 4 equal triangles are cut, one off each corner. The resulting shape is a regular octagon. What is its area?
Homework Equations
I believe the sides of the triangles to both be (1-x)/2...