Question

find the unit digit of the number 2^2006 + 5^2007 is equal to​

Answer 1

The unit digit would be 9.

Step-by-step explanation:

Given number,

$2^2006 + 5^2007$

Since, the unit digits in different power of 2,

$2^1=2$

$2^2=4$

$2^3=8$

$2^4=6$

Also, $6^n=6$  ( unit digit )

Where, n = 1, 2, 3, 4, 5...

$2^{2006}=2^{2004}.2^2=(2^4)^{501}\times 4=6\times 4=4$  ( unit digit )

Note : $a^{m+n}=a^m.a^n, a^{mn}=(a^m)^n$

Now, $5^n=5$ ( unit digit )

Where, n = 1, 2, 3..

$\implies 5^{2007}=5$

$\implies 2^{2006} + 5^{2007}=4+5=9$

Hence, the unit digit of given expression would be 9.

#Learn more:

Find unit digit:

https://brainly.in/question/2381224

Answer 2

Answer:

pls tell

Step-by-step explanation:

i need answer too