Question

If 2raise to power 1998-2 raise to power 1997-2 raise to power 1996+2raise to power 1995 =k.2raise to power 1995 then what the value of k

Answer 1

Answer:

3

Step-by-step explanation:

21998 – 21997 – 21996 + 21995 = K21995

By cross multiplication we get, (21998/21995) – (21997/21995) – (21996/21995) + (21995/21995) =

K By the rule, am ÷ an = am–n , m>n

K= (21998 – 1995) – (21997 – 1995) – (21996 – 1995) + (21995 – 1995) K = 23 – 22 – 21 + 20 K = 8 – 4 – 2 – 1

K = 3