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What is the value of (2^7\div2^2)?
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Answer and explanation
Correct answer: 32
When powers with the same base are divided, their exponents are subtracted: \(a^m\div a^n=a^{m-n}\). Therefore, \(2^7\div2^2=2^{7-2}=2^5=32\). The distractor 64 may result from incorrectly adding the exponents. Exam tip: subtract exponents only when the bases are the same.
Frequently asked questions
What is the correct answer to this question?
32
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(a^m\div a^n=a^{m-n}\). Therefore, \(2^7\div2^2=2^{7-2}=2^5=32\). The distractor 64 may result from incorrectly adding the exponents. Exam tip: subtract exponents only when the bases are the same.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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