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What is the value of (16^2\div2^6)?

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Answer and explanation

Correct answer: 4

Since 16 = 2^4, we get 16^2 = (2^4)^2 = 2^8. Using the quotient rule for powers with the same base, 2^8 ÷ 2^6 = 2^(8−6) = 2^2 = 4. Therefore, the correct answer is 4. Exam tip: When dividing powers with the same base, subtract the exponents.

Related tags

ExponentsNumber SystemsLaws Of ExponentsPowersBase Conversion

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Since 16 = 2^4, we get 16^2 = (2^4)^2 = 2^8. Using the quotient rule for powers with the same base, 2^8 ÷ 2^6 = 2^(8−6) = 2^2 = 4. Therefore, the correct answer is 4. Exam tip: When dividing powers with the same base, subtract the exponents.

Which subject and chapter does this question cover?

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

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