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What is value of ( (64)^{1/3} )
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Answer and explanation
Correct answer: 4
Write 64 as a perfect cube: \(64=4^3\). Therefore, \((64)^{1/3}=(4^3)^{1/3}=4\), so option A is correct. Option 8 is incorrect because \(8^3=512\), not 64. Exam tip: an exponent of \(1/n\) represents the nth root of a number.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Write 64 as a perfect cube: \(64=4^3\). Therefore, \((64)^{1/3}=(4^3)^{1/3}=4\), so option A is correct. Option 8 is incorrect because \(8^3=512\), not 64. Exam tip: an exponent of \(1/n\) represents the nth root of a number.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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