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What is value of (a^0)

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Answer and explanation

Correct answer: 1

For any non-zero number or variable, the exponent rule gives \(a^m \div a^m=a^{m-m}=a^0\). The left-hand side equals 1, so \(a^0=1\) for \(a\neq 0\). Therefore, option A is correct. Option C would apply when the exponent is 1, not 0. Exam tip: the zeroth power of every non-zero base is 1.

Related tags

Number SystemsExponentsLaws Of ExponentsZero ExponentGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

For any non-zero number or variable, the exponent rule gives \(a^m \div a^m=a^{m-m}=a^0\). The left-hand side equals 1, so \(a^0=1\) for \(a\neq 0\). Therefore, option A is correct. Option C would apply when the exponent is 1, not 0. Exam tip: the zeroth power of every non-zero base is 1.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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