Question

simplificando a expressão abaixo, obtemos:​

Answer 1

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$\sf{\dfrac{2^{48}+4^{22}-2^{46}}{4^5\cdot8^{6}}}\\\sf{\dfrac{2^{48}+(2^2)^{22}-2^{46}}{(2^2)^5\cdot(2^3)^{6}}}\\\sf{\dfrac{2^{48}+2^{44}-2^{46}}{2^{10}\cdot2^{18}}}\\\sf{\dfrac{2^{48}+2^{44}-2^{46}}{2^{10+18}}}$

$\sf{\dfrac{2^{48}+2^{44}-2^{46}}{2^{28}}}\\\sf{\dfrac{\diagup\!\!\!\!\!\!2^{44}\cdot(2^4+1-2^2)}{\diagup\!\!\!\!\!\!2^{28}}=2^{16}\cdot(16+1-4)}\\\sf{65536\cdot13=851968\checkmark}$