What is the value of \(9^4\)?
Answer and explanation
Correct answer: 6561
Solution: \(9^2=81\), \(9^3=729\). Thus \(9^4=9^3\times9=729\times9=6561\). Alternatively, since \(9=(3^2)\), \(9^4=(3^2)^4=3^8=6561\). Explanation of distractors: 729 is \(9^3\), 59049 equals \(9^5\), and 5901 is an arithmetic error. Exam tip: compute successive powers or convert the base to prime factors (e.g. \(9=3^2\)) to find higher powers quickly.
Frequently asked questions
What is the correct answer to this question?
6561
Why is this the correct answer?
Solution: \(9^2=81\), \(9^3=729\). Thus \(9^4=9^3\times9=729\times9=6561\). Alternatively, since \(9=(3^2)\), \(9^4=(3^2)^4=3^8=6561\). Explanation of distractors: 729 is \(9^3\), 59049 equals \(9^5\), and 5901 is an arithmetic error. Exam tip: compute successive powers or convert the base to prime factors (e.g. \(9=3^2\)) to find higher powers quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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