2026 CSS P2 Q1

2026 CSS P2 Q1

Secondary 4
10 marks
  1. Simplify \(\left(\dfrac{9a^8}{b^6}\right)^{\frac12}\), giving your answer in positive index.[2]
  2. \(\dfrac{2^k}{\sqrt8}=4^{k-1}\)
    Use the laws of indices to find the value of \(k\).[3]
  3. Simplify \(\dfrac{15c^2d}{8}\div\dfrac{45c^3}{16d^2}\).[2]
  4. Simplify \(\dfrac{2x-1}{x+3}-\dfrac3{x-2}+2\) as a single fraction in its simplest form.[3]

Solution:

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Answer:(a) \(\dfrac{3a^4}{b^3}\) for \(b>0\); generally \(\dfrac{3a^4}{|b|^3}\). (b) \(k=\dfrac12\) (c) \(\dfrac{2d^3}{3c}\) (d) \(\dfrac{4x^2-6x-19}{(x+3)(x-2)}\)

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