Question

3.6.9.12.15 convert this product into factorial notation

Answer 1

Hope this help...........

Answer 2

Answer:

$3^5\times 5!$

Step-by-step explanation:

Since, In factorial notation a product of consecutive descending natural numbers is represented by a single number with the sign of !,

Example : 3 × 2 × 1 = 3!

Here, the given expression,

3 × 6 × 9 × 12 × 15

= 3 × 3 × 2 × 3 × 3 × 2 × 2 × 3 × 3 × 5

= 3 × 3 × 2 × 3 × 3 × 4 × 3 × 3 × 5

= 3 × 3 × 3 × 3 × 3 × 2 × 3 × 4 × 5

= 3 × 3 × 3 × 3 × 3 × 1 × 2 × 3 × 4 × 5

$= 3^5\times 5!$

Which is the required factorial expression.

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