1. The problem is to evaluate the expression $0^0$.
2. The expression $a^b$ means $a$ raised to the power of $b$.
3. Normally, any nonzero number raised to the power 0 is 1, i.e., $a^0=1$ for $a \neq 0$.
4. Also, zero raised to any positive power is 0, i.e., $0^b=0$ for $b>0$.
5. However, $0^0$ is an indeterminate form in mathematics because it can be argued both ways.
6. In many contexts, especially combinatorics and computer science, $0^0$ is defined as 1 for convenience.
7. Therefore, the most common accepted value for $0^0$ is:
$$0^0=1$$
This is the final answer.
Zero Power Zero 533B57
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.