Question

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Answer 1

Required Answer:-

Given to evaluate:

$\rm \mapsto \dfrac{ {2}^{2001} + {2}^{1999} }{ {2}^{2000} - {2}^{1998} }$

Solution:

Given that,

$\rm \dfrac{ {2}^{2001} + {2}^{1999} }{ {2}^{2000} - {2}^{1998} }$

$\rm = \dfrac{ {2}^{1999}({2}^{2} + 1)}{ {2}^{1998}( {2}^{2} - 1) }$

$\rm = \dfrac{ {2}^{1999 - 1998}({2}^{2} + 1)}{( {2}^{2} - 1) }$

$\rm = \dfrac{2 \times 5}{3}$

$\rm = \dfrac{10}{3}$

$\rm = 3 \dfrac{1}{3}$

Hence,

$\rm \implies \dfrac{ {2}^{2001} + {2}^{1999} }{ {2}^{2000} - {2}^{1998} } = 3 \dfrac{1}{3}$

Answer:

$\rm \implies \dfrac{ {2}^{2001} + {2}^{1999} }{ {2}^{2000} - {2}^{1998} } = 3 \dfrac{1}{3}$

Answer 2

Answer:

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