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What is simplified form of (\frac{a^6}{a^2})

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Answer and explanation

Correct answer: \(a^4\)

When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{a^m}{a^n}=a^{m-n}\), where \(a\ne0\). Thus, \(\frac{a^6}{a^2}=a^{6-2}=a^4\). Exam tip: subtract exponents for division of like bases; do not add them.

Related tags

ExponentsLaws Of ExponentsNumber SystemsAlgebraic Simplification

Frequently asked questions

What is the correct answer to this question?

\(a^4\)

Why is this the correct answer?

When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{a^m}{a^n}=a^{m-n}\), where \(a\ne0\). Thus, \(\frac{a^6}{a^2}=a^{6-2}=a^4\). Exam tip: subtract exponents for division of like bases; do not add them.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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