Any non-zero number raised to the zero power equals 1. Which of the following expresses this fact?

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Multiple Choice

Any non-zero number raised to the zero power equals 1. Which of the following expresses this fact?

Explanation:
The key idea is that raising a nonzero number to the zero power gives 1. This comes from the exponent rule a^m / a^n = a^(m-n). If you set m = n, you get a^0 = a^m / a^m = 1. So any nonzero base raised to 0 equals 1. This fact is expressed by the number 1, because a^0 equals 1 for any nonzero base. The other options don’t express the value: zero is not the result of a^0, the base is the quantity being raised, and undefined would apply in some different situations (like 0^0, which is not what this statement is about).

The key idea is that raising a nonzero number to the zero power gives 1. This comes from the exponent rule a^m / a^n = a^(m-n). If you set m = n, you get a^0 = a^m / a^m = 1. So any nonzero base raised to 0 equals 1.

This fact is expressed by the number 1, because a^0 equals 1 for any nonzero base. The other options don’t express the value: zero is not the result of a^0, the base is the quantity being raised, and undefined would apply in some different situations (like 0^0, which is not what this statement is about).

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