Question

by which digit the value of 4 power 2020 ends? (i. e) what is the digit in the units place of the expansion of 4 power 2020​

Answer 1

Answer:

The digit in the units place of the expansion of 4^2020 is '6' only.

Answer 2

Given : 4²⁰²⁰

To Find :  what is the digit in the units place the expansion of  4²⁰²⁰

Solution:

4²⁰²⁰

= 4²ˣ¹⁰¹⁰

= (4²)¹⁰¹⁰

= (16)¹⁰¹⁰

any number ending with digit  6 raised to power n    n > 1 , n ∈ Z

always ends in digit 6

Hence (16)¹⁰¹⁰  has 6 in unit place

so  digit in the units place the expansion of  4²⁰²⁰  is 6

correct answer is 6

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