Math, asked by RutikaSansaria6559, 1 year ago

If 2 raised to the power 1998 - 2 raised to the power 1997 - 2 raised to the power 1996 + 2 raised to the power 1995 = K.2 raised to the power 1995, then the value of K is

Answers

Answered by MaheswariS
44

Answer:

The value of K is 3

Step-by-step explanation:

\textsf{Given:}

\mathsf{2^{1998}-2^{1997}-2^{1996}+2^{1995}=K\;2^{1995}}

\textsf{Taking out $2^{1995}$ as common}

\mathsf{=2^{1995}(2^3-2^2-2^1)=K(2^{1995})}

\textsf{cancelling $2^{1995}$ on both sides}

\mathsf{8-4-2+1=K}

\implies\boxed{\mathsf{K=3}}

Answered by sujatakadali
4

Answer:

3 is ur answer

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