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For a non-zero real number \(a\) and integers \(m,n\), which of the following represents the quotient law of exponents?
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Answer and explanation
Correct answer: \(\frac{a^m}{a^n}=a^{m-n}\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(a^m/a^n=a^{m-n}\). For example, \(a^7/a^3=a^4\). The \(m+n\) rule applies to multiplication. In exams, check that the base is non-zero.
Frequently asked questions
What is the correct answer to this question?
\(\frac{a^m}{a^n}=a^{m-n}\)
Why is this the correct answer?
When powers with the same non-zero base are divided, their exponents are subtracted: \(a^m/a^n=a^{m-n}\). For example, \(a^7/a^3=a^4\). The \(m+n\) rule applies to multiplication. In exams, check that 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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