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Simplify \((216^{{\frac{1}{3}}})^{-2}\)

Mathematics
NECO 2004

Simplify \((216^{{\frac{1}{3}}})^{-2}\)

  • A. \(\frac{1}{36}\)
  • B. \(\frac{1}{18}\)
  • C. \(\frac{1}{13}\)
  • D. \(\frac{1}{6}\)
  • E. \(\frac{1}{3}\)
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Correct Answer: Option A
Explanation

\((216^{\frac{1}{3}})^{-2}\)

= \(216^{\frac{-2}{3}}\)

= (3√216)\(^{-2}\)

= (6)\(^{-2}\)

= \(\frac{1}{6^2}\) 

=\(\frac{1}{36}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709