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What is the value of ((3^3)^2)?
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Answer and explanation
Correct answer: 729
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\). Therefore, \((3^3)^2=3^{3\times2}=3^6=729\). Option 243 equals \(3^5\), so it is not correct. Exam tip: when a power is raised to another power, multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
729
Why is this the correct answer?
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\). Therefore, \((3^3)^2=3^{3\times2}=3^6=729\). Option 243 equals \(3^5\), so it is not correct. Exam tip: when a power is raised to another power, multiply the exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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