Math, asked by raghu385, 1 year ago

What is the greatest possible positive integer n if 16^n divides (44)^44 without leaving a remainder.

a. 1?

Answers

Answered by amitnrw
1

Answer:

22

Step-by-step explanation:

What is the greatest possible positive integer n if 16^n divides (44)^44 without leaving a remainder.

16ⁿ Divides 44⁴⁴

44⁴⁴ = (4 * 11)⁴⁴

11 is a prime number

= 4⁴⁴ * 11⁴⁴

= 4²ˣ²² * 11⁴⁴

= 16²² * 11⁴⁴

Maximum value of n = 22

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