Question

If 21998 – 21997 – 21996 + 21995 = K.21995, then the value of K is

Also explain me how

Answer 1

21998 - 21997 - 21996 + 21995 = k. 21995

1 - 21996 + 21995 = k. 21995

- 21995 + 21995 = k. 21995

0 =k. 21995

0 = k

So, the value of k is 0

Answer 2

Answer:

Step-by-step explanation:

So, it is given

21998 - 21997 - 21996 + 21995 = K.21995

We can write it like this for easy calculation

2^1995 + 3 - 2^1995 + 2 - 2^1995+1 + 2^1995 = K.2^1995

Now we'll be taking out the common terms, that is

2^1995 [2^3 - 2^2 - 2^1 + 1] = K.2^1995

So now if we calculate it will be

2^1995 [8 - 4 - 2 + 1] = K.2^1995

If we calculate, the answer is

3 = K.2^1995/ 2^1995

So,

K = 3

Therefore, the value of k is 3.

(^) means "raised to the power".