2026 EVG P1 Q13

2026 EVG P1 Q13

Secondary 4
4 marks
  1. Given that \(a=3^x\), express \(9^{x-1}\) in terms of \(a\).[2]
  2. Simplify \((16p^4q^{-2})^{3/2}\div(p^{-6}q^9)\). Express your answer in positive indices.[2]

Solution:

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Answer:(a) \(a^2/9\). (b) \(64p^{12}/q^{12}\) for positive variables; see sign qualification.

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