Question 80 (b)

Express each of following as a product of powers of their prime factors.
2025

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Solution

$\begin{matrix} 3 & 2025 3 & 675 3 & 225 3 & 75 5 & 25 5 & 5 1 \end{matrix}$
Using prime factorisation of 2025, we have
$2025 = 3 \times 3 \times 3 \times 3 \times 5 \times 5 = 3^{4} \times 5^{2}$

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