GUYS PLZZ HELP ME TO ANSWER THIS QUESTION.....show that 4^n cannot end with the ...

Questions

July 2022 2 31 Report

GUYS PLZZ HELP ME TO ANSWER THIS QUESTION.....

show that 4^n cannot end with the digit 0 for any number.

Verified answer

4^n = (2×2)^n

Since, it is necessary to have 2 and 5 as a factor to end with digit 0 . And according to fundamental theorem of arithmatic its prime factorization is unique and thus it cant end with digit 0.

Elwin123
We have 4n where n = 1, 2, 3, 4.......

if n = 1 then 4n = 41 = 4
if n = 2 then 4n = 42 = 16 and so on

If a number ends with zero then it is divisible by 5.

Here, 4 and 16 are not dividible by 5.

Therefore, 4n can never end with zero.

Questions

Answers & Comments

Verified answer

Add an Answer

a woman takes up a job of 8000 rupees per month with an annual increment of 100 ...

if the nth term of an AP is (3n + 2) then find the sum of n terms of an AP...

Hey Guys plzzz answer this ......find the area of the segment of a circle of rad...

Heyy... plzz help If A(1,2) B(4,3) and C(6,6) are the 3 vertices of a parallelog...

Plzz help me to solve q10...

Class 10th students plzz tell..which extra book is best for sst boards revision....

the centre of a circle is (2 p - 1, 2p - 2 )if a circle passes through the point...

if the coordinates of the mid-points of the sides of triangle are (2,1) (3,-5) a...

Plzzz solve ques 5 Plzzzzz Guys...

Guys plzz help :)show that 21^n cannot end with the digit 0, 2, 4, 6 and 8 for a...

Recommend Questions

Helpful Links

Helpful Social