Question

is 4^n and 8^n ends with zero​

Answer 1

Answer:

To check wheather a number ends with zero or not, please see below:

Step-by-step explanation:

• If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5.

• Prime factorisation of 4n = (2 ×2)n

• It can be observed that 5 is not in the prime factorisation of 4n.

• Hence, for any value of n, 4n will not be divisible by 5.

• Now, in the case of 8n, lets see the prime factorisation of 8 which is, 2x2x2 which is equal to 2³

• 8³ is ≠ 2 or 5.

Therefore, the numbers 4^n and 8^n cannot end with the digit 0.

Answer 2

Answer:

noo... 4^n and 8^n don't end with 0

4¹=04. 8¹=08

4²=16. 8²=64

4³=64. 8³= 512

4⁴=256. 8⁴=4096

4⁵=1024. 8⁵=32768

Similarly.4^n result to end with 4 (or) 6

8^n results to end with 8(or)4(or)2(or)6(or)8(or)4(or)2(or)6(or)8...

Hence proved that 4^n and 8^n never end with 0