This problem is a base conversion problem masquerading as a "word problem". You are responsible for controlling the stage lights at a small theater. The control box has control switches for 10 separate lights, and each switch can make its corresponding light off, red, green, yellow, or blue. How many different patterns of lighting can you set up?

Question

I tried putting 4^10, but it's incorrect, what would be the correct power?

Answer 1

How about 5^10?
The light being off is also part of a pattern.

Answer 2

OMG totally didn't see that, thank you!

Answer 3

You're welcome!