What is the value of (15^2 + 2^4)?
Answer and explanation
Correct answer: 241
Evaluate the powers separately:
\(15^2=225\) and \(2^4=16\). Adding gives \(225+16=241\), so the correct value is 241.
Notes on distractors: B (233) reflects the mistake of treating \(2^4\) as 8 (which is \(2^3\)). A (225) corresponds to omitting the \(2^4\) term. D (256) is the value of a different power (for example \(4^4\) or \(16^2\)) and is not relevant here.
Exam tip: compute each power first, remember small powers of 2, then perform the addition to avoid slip errors.
Frequently asked questions
What is the correct answer to this question?
241
Why is this the correct answer?
Evaluate the powers separately:
\(15^2=225\) and \(2^4=16\). Adding gives \(225+16=241\), so the correct value is 241.
Notes on distractors: B (233) reflects the mistake of treating \(2^4\) as 8 (which is \(2^3\)). A (225) corresponds to omitting the \(2^4\) term. D (256) is the value of a different power (for example \(4^4\) or \(16^2\)) and is not relevant here.
Exam tip: compute each power first, remember small powers of 2, then perform the addition to avoid slip errors.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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