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Saturday, 07 March 2026
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Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).
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  • A \(\frac{9a^2}{2a^3}\)
  • B \(\frac{3}{2a^3}\)
  • C \(\frac{2}{3a^2}\)
  • D \(\frac{3a^2}{2}\)
Correct Answer: Option B
Explanation:
\(\sqrt[3]{\frac{27a ^{-9}}{8}}\) = \(\frac{3a^{-3}}{2}\)
= \(\frac{3}{2}\) x \(\frac{1}{a^3}\)
= \(\frac{3}{2a^3}\)

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