What is the value of \(24^2+13^3\)?
Answer and explanation
Correct answer: 2773
Compute the powers separately: \(24^2=576\) and \(13^3=2197\). Adding gives \(576+2197=2773\), so the correct value is 2773. The close distractor 2783 is incorrect — it reflects a typical addition or cube-miscalculation error (e.g. treating 2197 as 2207). Exam tip: calculate each power first and then add; memorise small squares and cubes to avoid simple mistakes.
Frequently asked questions
What is the correct answer to this question?
2773
Why is this the correct answer?
Compute the powers separately: \(24^2=576\) and \(13^3=2197\). Adding gives \(576+2197=2773\), so the correct value is 2773. The close distractor 2783 is incorrect — it reflects a typical addition or cube-miscalculation error (e.g. treating 2197 as 2207). Exam tip: calculate each power first and then add; memorise small squares and cubes to avoid simple mistakes.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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