Which of the following statements correctly represents the quotient rule of exponents for non-zero real numbers?
Answer and explanation
Correct answer: \(a^m \div a^n=a^{m-n}\)
When powers with the same base are divided, their exponents are subtracted: \(a^m\div a^n=a^{m-n}\), where \(a\ne0\). Option B is the multiplication rule, not the quotient rule. In exams, first check that the bases match and the base is non-zero.
Frequently asked questions
What is the correct answer to this question?
\(a^m \div a^n=a^{m-n}\)
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(a^m\div a^n=a^{m-n}\), where \(a\ne0\). Option B is the multiplication rule, not the quotient rule. In exams, first check that the bases match and the base is non-zero.
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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