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What is the value of ((6^2)^2\div6^2)?
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Answer and explanation
Correct answer: 36
Apply the exponent laws: (6^2)^2=6^{2\times2}=6^4. Therefore, 6^4\div6^2=6^{4-2}=6^2=36. Hence, 36 is correct. The value 1296 is only 6^4, before dividing by 6^2. Exam tip: when powers with the same base are divided, subtract their exponents.
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
Apply the exponent laws: (6^2)^2=6^{2\times2}=6^4. Therefore, 6^4\div6^2=6^{4-2}=6^2=36. Hence, 36 is correct. The value 1296 is only 6^4, before dividing by 6^2. Exam tip: when powers with the same base are divided, subtract their 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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