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What is the value of \(2^5\cdot4^{-1}\)?
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Answer and explanation
Correct answer: 8
Using the law of negative exponents, \(4^{-1}=(2^2)^{-1}=2^{-2}\). Therefore, \(2^5\cdot4^{-1}=2^5\cdot2^{-2}=2^{5-2}=2^3=8\), so option B is correct. Exam tip: when multiplying powers with the same base, add their exponents; when dividing, subtract them.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Using the law of negative exponents, \(4^{-1}=(2^2)^{-1}=2^{-2}\). Therefore, \(2^5\cdot4^{-1}=2^5\cdot2^{-2}=2^{5-2}=2^3=8\), so option B is correct. Exam tip: when multiplying powers with the same base, add their exponents; when dividing, subtract them.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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