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What is the value of ((12^2+5^2)\div13)?
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Answer and explanation
Correct answer: 13
Evaluate the powers first: \(12^2=144\) and \(5^2=25\). Thus, \(12^2+5^2=144+25=169\). Finally, \(169\div13=13\), so option C is correct. Exam tip: simplify the exponents before carrying out the addition and division; treating \(12^2\) as \(12+2\) would be incorrect.
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
Evaluate the powers first: \(12^2=144\) and \(5^2=25\). Thus, \(12^2+5^2=144+25=169\). Finally, \(169\div13=13\), so option C is correct. Exam tip: simplify the exponents before carrying out the addition and division; treating \(12^2\) as \(12+2\) would be incorrect.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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