2. (4 points) 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? Express your answer as a power, then calculate it out and write that answer down, too. (Refer to the section of the book called "How Many Patterns?")

Note: to type in a number raised to a power, use the "^" character. For example, 2³ (2 raised to the 3rd power) would be typed in as 2^3 Type in your answers as numbers only, without commas, spaces, or any text.