Which law of exponents is correct for multiplying powers with the same non-zero base?
Answer and explanation
Correct answer: \(a^m \times a^n=a^{m+n}\)
When powers have the same base, their exponents are added, so \(a^m \times a^n=a^{m+n}\). The form \(a^{m-n}\) belongs to division of like bases. Exam tip: check that the bases are identical before applying this rule.
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 have the same base, their exponents are added, so \(a^m \times a^n=a^{m+n}\). The form \(a^{m-n}\) belongs to division of like bases. Exam tip: check that the bases are identical before applying this rule.
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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