$$\(12 P=3^{3} \times 5^{2} \times 7\)$$ $$\(Q=3^{2} \times 5 \times 7^{2}\)$$ (a) Write down the highest common factor (HCF) of $$\(P\)$$ and $$\(Q\)$$ (1) $$\(P=3^{3} \times 5^{2} \times 7\)$$ $$\(Q=3^{2} \times 5 \times 7^{2}\)$$ (b) Work out the value of $$\(P^{3} \times Q\)$$ Give your answer in the form $$\(3^{x} \times 5^{y} \times 7^{z}\)$$ where $$\(x, y\)$$ and $$\(z\)$$ are positive integers. (2)

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