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Friday, 06 March 2026
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Simplify f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\)

Simplify f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\)
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  • A (\(\frac{g}{fh}\))2
  • B F2g2h2
  • C \(\frac{5}{4}\)goh\(\frac{7}{9}\)
  • D \(\frac{g^2}{f^5h^7}\)
  • E \(\frac{1}{f^2h^2}\)
Correct Answer: Option A
Explanation:
f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\) = f\(\frac{1}{2}\) - \(\frac{5}{2}\) g2 - 0 h\(\frac{1}{2}\) - \(\frac{7}{3}\)
f-2 g2 h-2
= \(\frac{g^2}{f^2h^2}\)
= (\(\frac{g}{fh}\))2

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