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If \(a\ne0\), what is the value of \(a^0\)?

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Answer and explanation

Correct answer: 1

By the law of exponents, the zero power of any non-zero number is 1: \(a^0=1\), where \(a\ne0\). Therefore, 1 is correct. The options \(a\) and \(-a\) depend on the base, while 0 is not the general value of a zero power. Exam tip: the zero power of every non-zero number is 1.

Related tags

PolynomialsExponentsReal NumbersExponent Laws

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

By the law of exponents, the zero power of any non-zero number is 1: \(a^0=1\), where \(a\ne0\). Therefore, 1 is correct. The options \(a\) and \(-a\) depend on the base, while 0 is not the general value of a zero power. Exam tip: the zero power of every non-zero number is 1.

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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