What is the value of \((6^2)^2\)?
Answer and explanation
Correct answer: 1296
Using the law of exponents \((a^m)^n = a^{mn}\), we have \((6^2)^2 = 6^{2\times2} = 6^4\). Compute stepwise: \(6^2=36\) and \(36^2=1296\), so the value is 1296. Distractors: 36 equals \(6^2\), 216 equals \(6^3\), and 256 is unrelated here. Exam tip: apply the power-of-a-power rule and simplify by computing smaller powers first if helpful.
Frequently asked questions
What is the correct answer to this question?
1296
Why is this the correct answer?
Using the law of exponents \((a^m)^n = a^{mn}\), we have \((6^2)^2 = 6^{2\times2} = 6^4\). Compute stepwise: \(6^2=36\) and \(36^2=1296\), so the value is 1296. Distractors: 36 equals \(6^2\), 216 equals \(6^3\), and 256 is unrelated here. Exam tip: apply the power-of-a-power rule and simplify by computing smaller powers first if helpful.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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