What is value of (\frac{2^{-3}}{2^{-1}})
Answer and explanation
Correct answer: \(2^{-2}\)
When powers with the same base are divided, their exponents are subtracted: \(\frac{2^{-3}}{2^{-1}}=2^{-3-(-1)}=2^{-2}\). Therefore, option A is correct. Remember that a negative exponent represents a reciprocal, so \(2^{-2}=\frac{1}{4}\); \(2^2\) is a different value with a positive exponent. Exam tip: subtract the second exponent with its sign included.
Frequently asked questions
What is the correct answer to this question?
\(2^{-2}\)
Why is this the correct answer?
When powers with the same base are divided, their exponents are subtracted: \(\frac{2^{-3}}{2^{-1}}=2^{-3-(-1)}=2^{-2}\). Therefore, option A is correct. Remember that a negative exponent represents a reciprocal, so \(2^{-2}=\frac{1}{4}\); \(2^2\) is a different value with a positive exponent. Exam tip: subtract the second exponent with its sign included.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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