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Simplify: \(\frac{1}{4}(2^n  - 2^{n + 2}\))

Mathematics
WAEC 1991

Simplify: \(\frac{1}{4}(2^n  - 2^{n + 2}\))

  • A. \(2^{n - 2} - 2^n\)
  • B. \(2^{n-2}(1-2^n\))
  • C. \(2^n + 2^{2 + n}\)
  • D. \(2^{2n}\)
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Correct Answer: Option A
Explanation

\(\frac{1}{4}(2^n  - 2^{n + 2}\)) = \(\frac{1}{4}(2^n - 2^n \times2^2\))

\(\frac{1}{4} \times2^n(1 - 2^2\)) = \(2^{-2}\times2^n(1 - 2^2\))

\(2^{n - 2}(2^0 - 2^2\)) = \(2^{n - 2} - 2^n\)


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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC offline past questions - with all answers and explanations in one app - Download for free
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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