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What is the value of (2^5 \div 2^2)?

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Answer and explanation

Correct answer: 8

When powers with the same base are divided, subtract the exponents: \(2^5 \div 2^2 = 2^{5-2} = 2^3 = 8\). Therefore, 8 is correct. Getting 16 may result from incorrectly adding the exponents. Exam tip: use \(a^m \div a^n = a^{m-n}\) for the same base.

Related tags

ExponentsLaws Of ExponentsNumber SystemsDivision Of PowersClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

When powers with the same base are divided, subtract the exponents: \(2^5 \div 2^2 = 2^{5-2} = 2^3 = 8\). Therefore, 8 is correct. Getting 16 may result from incorrectly adding the exponents. Exam tip: use \(a^m \div a^n = a^{m-n}\) for the same base.

Which subject and chapter does this question cover?

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

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