What is the value of (\frac{2^{-3}}{2^{-5}})?
Answer and explanation
Correct answer: \(2^2\)
When powers with the same base are divided, their exponents are subtracted: \(\frac{2^{-3}}{2^{-5}}=2^{-3-(-5)}=2^2\). Therefore, option B is correct. Option C, \(2^{-2}\), results from subtracting the exponents in the wrong order. Exam tip: write \(-(-5)=+5\) explicitly when simplifying negative exponents.
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: \(\frac{2^{-3}}{2^{-5}}=2^{-3-(-5)}=2^2\). Therefore, option B is correct. Option C, \(2^{-2}\), results from subtracting the exponents in the wrong order. Exam tip: write \(-(-5)=+5\) explicitly when simplifying negative 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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