Math, asked by badheasha05, 5 months ago

find the unit digit of (343)^214?

Answers

Answered by Sravanip
4

Answer:

It is not even possible.

Step-by-step explanation:

sorry,if possible i don't know the answer

Answered by Syamkumarr
2

Answer:

The units digit in 343²¹⁴  is 9

Step-by-step explanation:

Given problem is about finding unit digit in 343²¹⁴  

⇒ here we cannot expand 343²¹⁴ so we will find units digit by using power of the given number

⇒ take power 214, and divide it by 4 and  find reminder  

⇒      4) 214 ( 53

            20

               14

               12

                 2   ⇒ reminder

⇒ so here we can take 343²  instead of 343²¹⁴

[ if reminder is 0  than take 4 as power

 if reminder is 1 than take 1 as power

 if reminder is 3 than take 3 as power ]

⇒ 343²  =   343 × 343

             =  117649 ⇒  units digit is 9          

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