Question

me ajudem por favor nessas questoes

Answer 1

3) 

$\dfrac{2^{21}}{2} + \dfrac{4^{12}}{2}\\ \\ \\2^{21} . 2^{-1} + \dfrac{2^{24}}{2}\\ \\ \\ 2^{21}\ .\ 2^{-1} + 2^{24}\ . \ 2} ^{-1}\\ \\ \\2^{20} + 2^{23}$


Resposta letra a) 2²⁰ + 2²³


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$\dfrac{0,5 . 10^3 - 2^{-1} . \sqrt[3]{1000}}{(1.31111...)^{-1}} \\ \\ \\ \dfrac{\dfrac{5}{10} . 1000 - \dfrac{1}{2} . 10}{(\dfrac{118}{90})^{-1}} \\ \\ \\ \dfrac{\dfrac{1000}{2} - \dfrac{10}{2}}{(\dfrac{59}{45})^{-1}} \\ \\ \\ \dfrac{\dfrac{1000}{2} - \dfrac{10}{2}}{\dfrac{45}{59}}} \\ \\ \\ \dfrac{500 - 5}{\dfrac{45}{59}}} \\ \\ \\ 495 - \dfrac{59}{45}} \\ \\ \\ \dfrac{59 . 495}{59}} \\ \\ \\ \dfrac{29205}{45}} \\ \\ \\=\ \textgreater \ 649$



Resposta letra d) 649


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5) 

$\dfrac{1}{\sqrt{2}} + \dfrac{1}{\sqrt{2} + 1} + \dfrac{1}{\sqrt{2} - 1} \\ \\ \\ \dfrac{1 . (\sqrt{2})}{(\sqrt{2}).(\sqrt{2})} + \dfrac{1 .(\sqrt{2} + 1)}{(\sqrt{2} + 1) . (\sqrt{2} + 1)} + \dfrac{1,(\sqrt{2} - 1)}{(\sqrt{2} - 1) .(\sqrt{2} - 1)}$

$\dfrac{\sqrt{2}}{(\sqrt{2})^2} + \dfrac{1 . \sqrt{2} + 1}{(\sqrt{2} + 1)^2)} + \dfrac{1,(\sqrt{2} - 1)}{(\sqrt{2} - 1)^2}\\ \\ \\ \dfrac{\sqrt{2}}{(\sqrt{2})^2} - 1 + \sqrt{2} + 1 +\sqrt{2}$

$\dfrac{\sqrt{2}}{(\sqrt{2})^2} + \sqrt{2}\\ \\ \\\dfrac{5\sqrt{2}}{2}$



Resposta letra c) $\dfrac{5\sqrt{2}}{2}$