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What is the value of \((2^{10}\div(2^3)^2)\)?
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Answer and explanation
Correct answer: 16
First apply the power-of-a-power rule: \((2^3)^2=2^{3\times2}=2^6\). Therefore, \(2^{10}\div2^6=2^{10-6}=2^4=16\), so option D is correct. Exam tip: when dividing powers with the same base, subtract the exponents; for a power raised to another power, multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
First apply the power-of-a-power rule: \((2^3)^2=2^{3\times2}=2^6\). Therefore, \(2^{10}\div2^6=2^{10-6}=2^4=16\), so option D is correct. Exam tip: when dividing powers with the same base, subtract the exponents; for a power 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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