Question

solve this question​

Answer 1

Answer:

Option b.

Step-by-step explanation:

$\implies \dfrac{ {2}^{ - 10 } + {2}^{-11} + {2}^{ - 12} + {2}^{ - 13}}{3} \\ \\ \\ \implies \dfrac{ {2}^{ - 13 + 3} + {2}^{ - 13 + 2} + {2}^{ - 13 + 1} + {2}^{ - 13} }{3} \\ \\ \\ \implies \dfrac{ {2}^{ - 13}( {2}^{3} ) + {2}^{ - 13}( {2}^{2} ) + {2}^{ - 13}( {2}^{1} ) + 1 }{3} \\ \\ \\ \implies \dfrac{ {2}^{ - 13} ( {2}^{3} + {2}^{2} + {2}^{1} + 1)}{3} \\ \\ \\ \implies \dfrac{ {2}^{ - 13}(8 + 4 + 2 + 1)}{3} \\ \\ \\ \implies \dfrac{ {2}^{ - 13}(15)}{3}$

$\implies 2^{-13}$ x 5.

Therefore,

Therefore the value of $\dfrac{ {2}^{ - 10 } + {2}^{11} + {2}^{ - 12} + {2}^{ - 13}}{3}$ is 5 times the value of 2^(-13).