Question

Find the Unit place in the 7^45304000.

Answer:

o The power is 45304000
o We know that a number is divisible by 4 if the number
formed the last two digits is divisible by 4.
o 00/4 = 0 that means remainder is ZERO and we know
that in case of 7 ,the cycle is 4 so we will find out the
4th power of 7
o 74if you still find difficult, let us simplify it 74= 72 x 72
o 49 x 49= ---1(unit digit)​

Answer 1

Answer:

the Unit place in the 7^45304000. is 1

Answer 2

Answer:

Step-by-step explanation:

Given problem is about finding units place of  $7^{45304000}$  

if there is a number like  $A^{xyz...}$  (for any positive values of A and $xyz..$ ) to find the units digit

take power and divide it by 4 and check what is reminder

if reminder is 0, then take  $A^{4}$ to find units digit

if reminder is 1, then take   $A^{1}$ to find units digit

if reminder is 2 then take  $A^{2}$  to find units digit

if reminder is 3 then take $A^{3}$  to find unit digit

the above process is the solution to find units digit for any given number    

now solve the given problem

given number =  $7^{45304000}$  

here on dividing 45304000 by 4 reminder is 0

[the number which have 00 at the end will give reminder 0 when it  is divided by 4]

⇒ reminder is 0 then take $7^{4}$ instead of  $7^{45304000}$  

⇒ $7^{4}$  =  7 ×7 ×7 ×7 = 49 × 49

                              =  2401

⇒ the units place is 1