What is the value of ((8^2\times2^3)\div2^7)?
Answer and explanation
Correct answer: 4
Write 8 as a power of 2: 8^2=(2^3)^2=2^6. Therefore, (2^6×2^3)÷2^7=2^(6+3−7)=2^2=4, so option C is correct. Option B (16) can result from incorrectly handling the exponents during multiplication or division. Exam tip: for powers with the same base, add exponents when multiplying and subtract them when dividing.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Write 8 as a power of 2: 8^2=(2^3)^2=2^6. Therefore, (2^6×2^3)÷2^7=2^(6+3−7)=2^2=4, so option C is correct. Option B (16) can result from incorrectly handling the exponents during multiplication or division. Exam tip: for powers with the same base, add exponents when multiplying and subtract them when dividing.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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