Question

Check whether 14n can end with the digit zero for any natural number

Answer 1

14^n can be also expressed as (2×7)^n.

Since the factors are 2 and 7 , 7 can never have a 0 in its unit s place.

Therefore, by Fundamental Theorem OF Arithmetic 14^n can't end with the digit 0

Answer 2

Answer:

please mark it as brainliest!

Step-by-step explanation:

Assume that 14th can end with 0,

                      =14 =2 x 7

                      = 14n = (2 x 7)n............. (1)

(1) is unique by fundamental theorem of arithmetic and it doesn't contain 5 .

         

          Hence, 14n never ends with digit 0.

hope it helped you!