2026 TKGS WA2 Q1

2026 TKGS WA2 Q1

Secondary 4
3 marks
  1. Show that \(3\left(\sqrt[4]{x^{-4}y^{-8}}\right)^3=3x^{-3}y^{-6}\).[1]
  2. Hence, simplify \(3\left(\sqrt[4]{x^{-4}y^{-8}}\right)^3\times\left(\dfrac{81x^6}{y^8}\right)^{1/2}\) and leave your answer in positive index form.[2]

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Answer:(a) Under x>0, y≠0: 3x⁻³y⁻⁶. (b) \(27/y^{10}\).

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