Question

By which digit the value of 4 to the power 2020 ends
​

Answer 1

Answer:

The unit digit of $4^{2020}$ is $6$

Step-by-step explanation:

Given:

To find the unit digit of $4^{2020}$

we know that

The unit digit of $4^0=1$

The unit digit of $4^1=4$

The unit digit of $4^2=6$

The unit digit of $4^3=4$

The unit digit of $4^4=6$

When the power is odd we get $4$ in the ending

When the power is even we get $6$ in the ending

As $2020$ is even the end will be $6$

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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