exam Maths Puzzle Numerical Ability

How do I find the formula for the number of diagonals in a polygon with "n" sides?

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Help! I really appreciate it! I've also included the work I've managed to do:

Problem:
(-1/5)^3 + {(-1/3)^2 + 1/12(1/6 -(-1/4)^3)}

Here's what I have so far:
-1/125 + {-1/9
Is there a way or maybe an equation to tell what an imaginary number is going to be?


For example: i to the 14th power would be...