Evaluate 100^0: Understanding the Zero Exponent Rule

Think about the pattern of exponents: $100^3 = 1,000,000$, $100^2 = 10,000$, $100^1 = 100$. Each time we decrease the exponent by 1, we divide by 100. So $100^0 = 100 ÷ 100 = 1$!

Yes! For example, $(-5)^0 = 1$ and $(-100)^0 = 1$. The zero exponent rule applies to any non-zero number, whether positive or negative.

Actually, $0^0$ is undefined in most contexts! The zero exponent rule only applies to non-zero bases. Remember: the base must not be zero for this rule to work.

These are completely different! $100^0$ means "100 raised to the power of 0" which equals 1. But $0 \times 100 = 0$ is just multiplication. The position of the zero matters!

Yes, as long as the base isn't zero! Whether it's $2^0$, $1000^0$, or $(\frac{1}{2})^0$, they all equal 1. This makes zero exponent problems very predictable!