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Which of the following statements is always true for non-zero real numbers according to the laws of exponents?
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Answer and explanation
Correct answer: \(a^m \cdot a^n=a^{m+n}\)
When powers with the same base are multiplied, their exponents are added; hence \(a^m\cdot a^n=a^{m+n}\). In division, exponents are subtracted, not multiplied. Exam tip: check whether the bases are identical first.
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What is the correct answer to this question?
\(a^m \cdot a^n=a^{m+n}\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added; hence \(a^m\cdot a^n=a^{m+n}\). In division, exponents are subtracted, not multiplied. Exam tip: check whether the bases are identical 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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