Question

Express each of the following as product of powers of their prime factors: (i) 405 (ii) 504 (iii) 500

Answer 1

Answer:

Step-by-step explanation:

Answer 2

• $405=3^{4}\times 5^{1}$
• $504=2^{3}\times 3^{2}\times 7^{1}$
• $500=2^{2}\times 5^{3}$

Step-by-step explanation:

Refer to the attached image.

After Prime Factorization, we have:

$405=3\times 3\times 3\times 3\times 5$

$\Rightarrow \boxed{405=3^{4}\times 5^{1}}$

$504=2\times 2\times 2\times 3\times 3\times 7$

$\Rightarrow \boxed{504=2^{3}\times 3^{2}\times 7^{1}}$

$500=2\times 2\times 5\times 5\times 5$

$\Rightarrow \boxed{500=2^{2}\times 5^{3}}$

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