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What is the value of \(2^7\cdot16^{-1}\)?
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Answer and explanation
Correct answer: 8
Since \(16=2^4\), we have \(16^{-1}=(2^4)^{-1}=2^{-4}\). Therefore, \(2^7\cdot16^{-1}=2^7\cdot2^{-4}=2^{7-4}=2^3=8\). Hence, the correct answer is 8. Exam tip: When multiplying powers with the same base, add their exponents.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Since \(16=2^4\), we have \(16^{-1}=(2^4)^{-1}=2^{-4}\). Therefore, \(2^7\cdot16^{-1}=2^7\cdot2^{-4}=2^{7-4}=2^3=8\). Hence, the correct answer is 8. Exam tip: When multiplying powers with the same base, add their exponents.
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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