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Tuesday, 03 March 2026
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If b3 = a-2 and c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b, express c in terms of a

If b3 = a-2 and c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b, express c in terms of a
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  • A A-\(\frac{1}{2}\)
  • B A\(\frac{1}{3}\)
  • C A\(\frac{3}{2}\)
  • D A\(\frac{2}{3}\)
Correct Answer: Option A
Explanation:
c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b
= a\(\frac{1}{2}\)b x a-2
= a-\(\frac{3}{2}\)
= (c\(\frac{1}{3}\))3
= (a-\(\frac{3}{2}\))\(\frac{1}{3}\)
c = a-\(\frac{1}{2}\)

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