Math, asked by solankeabhay3, 1 day ago

please solve this problem
explain also​

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Answers

Answered by shubhamshar1
1

Answer:

Is the answer of tis question 0

Answered by pavanadevassy
0

Answer:

The value is \dfrac{10}{3}  .

Step-by-step explanation:

We need to find

\dfrac{2^{2001}+2^{1999}}{2^{2000}+2^{1998}}

Here 2^{1999}  is a common factor of both terms in numerator and 2^{1998} is a common factor of both terms in denominator. Taking the common factors separately, we get

\dfrac{2^{1999}(2^2+1)}{2^{1998}(2^2-1)}  = \dfrac{2\times (4+1)}{4-1} =\dfrac{10}{3}

(Note that   \dfrac{2^{1999}}{2^{1998}} = 2^{1999-1998}=2^1=2  )

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