Compare Exponents: Which is Greater, 0^100 or 100^0?

To solve this problem, we'll follow these steps:

• Step 1: Evaluate $0^{100}$.
• Step 2: Evaluate $100^0$.
• Step 3: Compare the values obtained in Step 1 and Step 2.

Now, let's work through each step:

Step 1: Evaluate $0^{100}$.
Any non-negative integer power of 0 evaluates to 0. Therefore, $0^{100} = 0$.

Step 2: Evaluate $100^0$.
By the zero exponent rule for non-zero bases, $100^0 = 1$.

Step 3: Compare the values obtained: $0$ and $1$.
Clearly, $0 < 1$.

Therefore, $0^{100}$ is less than $100^0$.

The correct choice is: <