Evaluate each exponential expression in Exercises 1–22. (−3)⁰

검증된 단계별 안내

Recall the zero exponent rule, which states that for any nonzero base \(a\), \(a^0 = 1\).

Identify the base in the expression \((\-3)^0\). Here, the base is \(-3\).

Since \(-3\) is a nonzero number, apply the zero exponent rule: \((\-3)^0 = 1\).

Understand that the parentheses indicate the entire number \(-3\) is raised to the zero power, not just the 3.

Conclude that the value of \((\-3)^0\) is 1, based on the zero exponent rule.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

38s

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Exponents and Powers

Exponents indicate how many times a base number is multiplied by itself. For example, in a^n, 'a' is the base and 'n' is the exponent, meaning multiply 'a' by itself 'n' times. Understanding this helps evaluate expressions like (−3)^0.

Zero Exponent Rule

Any nonzero base raised to the zero power equals 1. This means that for any number 'a' ≠ 0, a^0 = 1. This rule applies regardless of whether the base is positive or negative, so (−3)^0 = 1.

Order of Operations with Exponents

When evaluating expressions with exponents, apply the exponent before other operations like multiplication or addition. Parentheses indicate that the exponent applies to the entire base, so (−3)^0 means the whole number −3 is raised to the zero power.

Evaluate each exponential expression in Exercises 1–22. (−3)0