Which of the following statements correctly represents the law of negative exponents for non-zero real numbers?
Answer and explanation
Correct answer: \(a^{-n}=\frac{1}{a^n}\), जहाँ \(a\ne0\)
A negative exponent denotes the reciprocal of the corresponding positive power: \(a^{-n}=1/a^n\), provided \(a\ne0\). Option B only changes the sign, so it is incorrect. In exams, always check the non-zero base condition.
Frequently asked questions
What is the correct answer to this question?
\(a^{-n}=\frac{1}{a^n}\), जहाँ \(a\ne0\)
Why is this the correct answer?
A negative exponent denotes the reciprocal of the corresponding positive power: \(a^{-n}=1/a^n\), provided \(a\ne0\). Option B only changes the sign, so it is incorrect. In exams, always check the non-zero base condition.
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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