2026 SPS P1 Q17

2026 SPS P1 Q17

Secondary 4
4 marks
  1. Given that \(3^k\times9^3=\dfrac1{81^k}\), find the value of \(k\).[2]
  2. Two integers, \(A\) and \(B\), can be written as the products of prime factors.
    \(A=p\times q^2\times7,\qquad B=p^{r+1}\times q\times7\).
    The smallest number that is divisible by both A and B is 4725.
    Find \(p,q\) and \(r\).[2]

Solution:

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Answer:(a) \(-6/5\). (b) \(p=3,q=5,r=2\).

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