For a non-zero real number \(a\) and integers \(m,n\), which equation correctly represents the product law of exponents?
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, so \(a^m\times a^n=a^{m+n}\) is correct. For example, \(a^2\times a^3=a^5\). In \((a^m)^n\), exponents are multiplied. Exam tip: check whether the bases are the same 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, so \(a^m\times a^n=a^{m+n}\) is correct. For example, \(a^2\times a^3=a^5\). In \((a^m)^n\), exponents are multiplied. Exam tip: check whether the bases are the same 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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