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According to which law of exponents are the exponents added when powers with the same base are multiplied?

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Answer and explanation

Correct answer: Product rule

The product rule states \(a^m \times a^n=a^{m+n}\) for the same base, so exponents are added during multiplication. In the quotient rule, exponents are subtracted. Exam tip: first check that the bases are identical.

Related tags

PolynomialsReal NumbersLaws Of ExponentsProduct RuleGrade 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

Product rule

Why is this the correct answer?

The product rule states \(a^m \times a^n=a^{m+n}\) for the same base, so exponents are added during multiplication. In the quotient rule, exponents are subtracted. Exam tip: first check that the bases are identical.

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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