Question 5(i)
Express each of the following as the product of powers of their prime factors:
(i) 648

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Solution

(i) 648

Firstly, we find out the factors of given number
$\begin{matrix} 2 & 648 2 & 324 2 & 162 3 & 81 3 & 27 3 & 9 3 & 3 1 \end{matrix}$

So,

648 = $2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3$

$∴$ $648 = 2^{3} \times 3^{4}$

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