What is simplified form of (\frac{2^7}{2^3})
Answer and explanation
Correct answer: \(2^4\)
For division of powers with the same base, use \(\frac{a^m}{a^n}=a^{m-n}\). Thus, \(\frac{2^7}{2^3}=2^{7-3}=2^4\), so option A is correct. Option B results from adding the exponents, which is the rule for multiplication, not division. Exam tip: subtract the exponents when dividing powers with the same non-zero base.
Frequently asked questions
What is the correct answer to this question?
\(2^4\)
Why is this the correct answer?
For division of powers with the same base, use \(\frac{a^m}{a^n}=a^{m-n}\). Thus, \(\frac{2^7}{2^3}=2^{7-3}=2^4\), so option A is correct. Option B results from adding the exponents, which is the rule for multiplication, not division. Exam tip: subtract the exponents when dividing powers with the same non-zero base.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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