If 2 raised to 1998 – 2 raised to 1997 – 2 raised to 1996 + 2 raised to 1995 = K x 2 raised to 1995, then the value of K is
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k=3
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Answer:
K=3
Explanation:
--) 2^1998 - 2^1997 -2^1996 + 2^1995 =K * 2^1995
--) 2^(1995+3) - 2^(1995+2) - 2^(1995+1) + 2^1995 =K * 2^1995
--) 2^1995 * 8 - 2^1995 * 4 - 2^1995 * 2 +2^1995 =K * 2^1995
--) 2^1995 (8-4-2+1) =K * 2^1995
--) 3= K
--) K=3
so that the value of K is 3.
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