What is the value of the expression ((7^2)^2)?
Answer and explanation
Correct answer: 2401
Use the power-of-a-power rule: \((a^{m})^{n}=a^{m\times n}\). So \((7^2)^2=7^{2\times2}=7^4=2401\). Option B (343) equals \(7^3\), option C (49) equals \(7^2\), and option D (2400) is numerically close but incorrect. Exam tip: For (a^m)^n multiply the exponents m and n before evaluating the base.
Frequently asked questions
What is the correct answer to this question?
2401
Why is this the correct answer?
Use the power-of-a-power rule: \((a^{m})^{n}=a^{m\times n}\). So \((7^2)^2=7^{2\times2}=7^4=2401\). Option B (343) equals \(7^3\), option C (49) equals \(7^2\), and option D (2400) is numerically close but incorrect. Exam tip: For (a^m)^n multiply the exponents m and n before evaluating the base.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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