Question

2^1998 - 2^1997 - 2^1996 - 2^1995 = K . 2 ^ 1995


what isk

plz solve fast​

Answer 1

Given :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• 2^1998 - 2^1997 - 2^1996 - 2^1995 = K.2^1995

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

To find :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Value of k ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➠ 2^1995 (2^3 - 2^2 - 2^1 - 1) = K.2^1995

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➠ (8 - 4 - 2 + 1) = K.2^1995/ 2^1995

➠ K = 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

∴ The value of K is 3⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer 2

$\huge\underline{\boxed{question - : }}\huge\pink\star$

• ${2}^{1998} - {2}^{1997} - {2}^{1996} - {2}^{1995} = k. {2}^{1995} \: finding \: .k.$

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$\huge\fcolorbox{yellow}{aqua}{answer - : }$

• ${2}^{1998} - {2}^{1997} - {2}^{1996} - {2}^{1995} = k. {2}^{1995}$

• ${2}^{1995} ( {2}^{3} - {2}^{2} - {2}^{1} + 1) = k. {2}^{1995}$

• $(8 - 4 - 2 + 1) = \cancel \frac{ {k.2}^{1995} }{ {2}^{1995} }$

• $k \: = 3$

Answer is 3...

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