In which of the following expressions has the product rule of exponents been applied correctly?
Answer and explanation
Correct answer: \(a^m \times a^n = a^{m+n}\)
When powers with the same base are multiplied, their exponents are added; hence \(a^m\times a^n=a^{m+n}\). Multiplying exponents to get \(mn\) is incorrect here. Exam tip: check that the bases match first.
Frequently asked questions
What is the correct answer to this question?
\(a^m \times a^n = a^{m+n}\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added; hence \(a^m\times a^n=a^{m+n}\). Multiplying exponents to get \(mn\) is incorrect here. Exam tip: check that the bases match first.
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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