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What is the value of (18^3 \div 18^2)?

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Answer and explanation

Correct answer: 18

For division of powers with the same base, subtract the exponents: \(18^3 \div 18^2 = 18^{3-2} = 18^1 = 18\). Therefore, option A is correct. The answer 324 results from applying an incorrect operation instead of subtracting the exponents. Exam tip: add exponents when multiplying like bases and subtract them when dividing like bases.

Related tags

Number SystemsExponentsLaws Of ExponentsPowersAlgebraic Simplification

Frequently asked questions

What is the correct answer to this question?

18

Why is this the correct answer?

For division of powers with the same base, subtract the exponents: \(18^3 \div 18^2 = 18^{3-2} = 18^1 = 18\). Therefore, option A is correct. The answer 324 results from applying an incorrect operation instead of subtracting the exponents. Exam tip: add exponents when multiplying like bases and subtract them when dividing like bases.

Which subject and chapter does this question cover?

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

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