Express \(3024\) as a product of its prime factors in index notation.[2]
Given that \(8640 = 2^6 \times 3^3 \times 5\), find the HCF and LCM of \(3024\) and \(8640\), giving your answer as the product of its prime factors in index notation.[2]
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Answer:(i) \(2^4\times3^3\times7\) (ii) HCF \(=2^4\times3^3\), LCM \(=2^6\times3^3\times5\times7\)