Any nonzero number raised to the power of 0 equals what?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Any nonzero number raised to the power of 0 equals what?

Explanation:
Any nonzero number raised to the zero power equals 1. This comes from the rules of exponents: a^m / a^m = a^(m−m) = a^0, and a^m / a^m is 1 for any nonzero a. So a^0 must be 1. Another way to see it is that a^n means multiplying a by itself n times; if n is zero, there are no factors to multiply, and the product of zero factors is the multiplicative identity, 1. It’s not the base, and it’s not undefined or zero for nonzero bases. For example, 3^0 = 1 and (-5)^0 = 1.

Any nonzero number raised to the zero power equals 1. This comes from the rules of exponents: a^m / a^m = a^(m−m) = a^0, and a^m / a^m is 1 for any nonzero a. So a^0 must be 1. Another way to see it is that a^n means multiplying a by itself n times; if n is zero, there are no factors to multiply, and the product of zero factors is the multiplicative identity, 1. It’s not the base, and it’s not undefined or zero for nonzero bases. For example, 3^0 = 1 and (-5)^0 = 1.

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