What is i^16 - i^15 + 1^14 - 1^13? i think its zero, but if you could get back to me with the answers and how you got it that would be great : )

Afactory adds 3 red drops and 2 blue drops of coloring to white paint to make each pint of purple paint. the factory will make 50 gallons of the purple paint. how many drops of red and blue coloring will the factory need in the 50 gallon batch of purple paint.