Question

(2la puterea 24+ 2 la puterea 23+ 2 la puterea la 22 ):7=
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Answer 1

$( {2}^{24} + {2}^{23} + {2}^{22}) : 7 = \\ \\ {2}^{2 + 22} + {2}^{1 + 22} + {2}^{22} : 7 = \\ \\ {2}^{2} \times {2}^{22} + 2 \times {2}^{22} + {2}^{22} : 7 = \\ \\ ( {2}^{2} + 2 + 1) \times {2}^{22} : 7 = \\ \\ (4 + 2 + 1) \times {2}^{22} : 7 = \\ \\ (6 + 1) \times {2}^{22} : 7 = \\ \\ 7 \times {2}^{22} : 7 = \\ \\ 1 \times {2}^{22} = \\ \\ {2}^{22}$