Calculate 1 to the Power of Zero: Uncover the Result

Great question! The zero exponent rule says any non-zero number raised to the power of 0 equals 1, not 0. Think of it this way: $1^3 = 1$, $1^2 = 1$, $1^1 = 1$, so $1^0 = 1$ follows the pattern!

This rule works for all non-zero numbers! For example: $5^0 = 1$, $100^0 = 1$, even $(-3)^0 = 1$. The only exception is $0^0$, which is undefined.

$0^0$ is undefined in most mathematical contexts because it creates a contradiction. But since our base is 1 (not 0), we can safely apply the zero exponent rule!

Try this pattern: $2^3 = 8$, $2^2 = 4$, $2^1 = 2$, $2^0 = 1$. Each time we decrease the exponent by 1, we divide by the base. So $2^0 = 2^1 ÷ 2 = 2 ÷ 2 = 1$!

Yes! Using the quotient rule: $\frac{a^m}{a^n} = a^{m-n}$. So $\frac{1^5}{1^5} = 1^{5-5} = 1^0$. But $\frac{1^5}{1^5} = \frac{1}{1} = 1$, so $1^0 = 1$!