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What is the value of (2^9)?

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Answer and explanation

Correct answer: 512

An exponent of 9 means multiplying 2 by itself nine times: \(2^9=2\times2\times2\times2\times2\times2\times2\times2\times2=512\). Therefore, 512 is correct. The close distractor 256 equals \(2^8\), not \(2^9\). Exam tip: Remember consecutive powers of 2; doubling \(2^8=256\) gives \(2^9=512\).

Related tags

ExponentsPowers Of TwoNumber SystemsInteger ExponentsMathematics

Frequently asked questions

What is the correct answer to this question?

512

Why is this the correct answer?

An exponent of 9 means multiplying 2 by itself nine times: \(2^9=2\times2\times2\times2\times2\times2\times2\times2\times2=512\). Therefore, 512 is correct. The close distractor 256 equals \(2^8\), not \(2^9\). Exam tip: Remember consecutive powers of 2; doubling \(2^8=256\) gives \(2^9=512\).

Which subject and chapter does this question cover?

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

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