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What is the value of (12^2 \div 6^2)?

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Answer and explanation

Correct answer: 4

Using the quotient rule for equal exponents, \\(a^n \div b^n = (a \div b)^n\\). Thus, \\(12^2 \div 6^2 = (12 \div 6)^2 = 2^2 = 4\\). Therefore, the correct answer is 4. Exam tip: do not divide only by 6; both the base and its square must be handled according to the exponent rule.

Related tags

Number SystemsExponentsExponent LawsSimplificationQuotient Rule

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Using the quotient rule for equal exponents, \\(a^n \div b^n = (a \div b)^n\\). Thus, \\(12^2 \div 6^2 = (12 \div 6)^2 = 2^2 = 4\\). Therefore, the correct answer is 4. Exam tip: do not divide only by 6; both the base and its square must be handled according to the exponent rule.

Which subject and chapter does this question cover?

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

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