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Which of the following expressions is equal to 1, where \(a\) is a non-zero real number?
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Answer and explanation
Correct answer: \(a^0\)
For every non-zero real number, the zero-exponent law gives \(a^0=1\). In contrast, \(a^{-1}=1/a\), which is not generally 1. Exam tip: always check that the base is non-zero before applying this law.
Frequently asked questions
What is the correct answer to this question?
\(a^0\)
Why is this the correct answer?
For every non-zero real number, the zero-exponent law gives \(a^0=1\). In contrast, \(a^{-1}=1/a\), which is not generally 1. Exam tip: always check that the base is non-zero before applying this law.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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