Subjects algebra

Zero Power Zero 533B57

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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.