What is 5^0 equal to?

5^0 is equal to 1.

In mathematics, any non-zero number raised to the power of zero is always equal to 1. This might seem a bit confusing at first, but it makes sense when you consider the rules of exponents. When you multiply numbers with the same base, you add their exponents. For example, 5^2 * 5^3 = 5^(2+3) = 5^5. If you reverse this process, you can see why 5^0 equals 1.

Let's break it down: 5^1 = 5. If you divide 5^1 by 5, you get 5^0. So, 5^1 / 5 = 5^0, which simplifies to 5 / 5 = 1. Therefore, 5^0 must be 1. This rule applies to any non-zero number, not just 5.

Understanding this concept is important because it helps you solve more complex problems involving exponents. It also ensures consistency in mathematical operations and equations. So, whenever you see a number raised to the power of zero, you can confidently say it equals 1.