Matematică, întrebare adresată de statestef99, 8 ani în urmă

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Anexe:

Răspunsuri la întrebare

Răspuns de ElenaRV
1

Răspuns:

 ({2}^{3}  \times  {2}^{14}  \div  {2}^{15}  +  {3}^{18}  \div  {3}^{6}  \div  {3}^{10}  +  {2}^{1}  +  {3}^{0} ) \div  {2}^{3}  =

( {2}^{2}  +  {3}^{2}  + 2 + 1 ) \div  {2}^{3}

(4 + 9 + 2 + 1) \div  {2}^{3}

(13 + 3) \div  {2}^{3}

16 \div  {2}^{3}

16 \div 8 = 2

Răspuns de Utilizator anonim
10
  • Răspuns:   \red{ \boxed{ \bf 2 } }

Explicație pas cu pas:

 \bf ( {2}^{3}  \times  {4}^{7}  \div  {8}^{5}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  +  {2}^{1}  +  {3}^{0} ) \div  {2}^{3}  =

 \bf ( {2}^{3}  \times  {4}^{7}  \div  {8}^{5}  +  {27}^{6}  \div  {9}^{3} \div  {3}^{10}   + 2 + 1) \div  {2}^{3}  =

 \bf [ {2}^{3}  \times ( {2}^{2} )^{7}  \div  {8}^{5}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 2 + 1] \div  {2}^{3}  =

 \bf ( {2}^{3}  \times  {2}^{14}  \div  {8}^{5}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 2 + 1) \div  {2}^{3}

 \bf  ( {2}^{17}  \div  {8}^{5}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 3) \div  {2}^{3}  =

 \bf [  {2}^{17}  \div ( {2}^{3} )^{5}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 3 ] \div  {2}^{3}  =

 \bf ( {2}^{17}  \div  {2}^{15}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 3) \div  {2}^{3}  =

 \bf  ( {2}^{2}  +  {27}^{6}  \div  {9}^{3}  \div  {3}^{10}  + 3) \div  {2}^{3}  =

 \bf [  {2}^{2}  + ( {3}^{3} )^{6}  \div (  {3}^{2} )^{3}  \div  {3}^{10}  + 3 ]  \div  {2}^{3}  =

 \bf ( {2}^{2}  +  {3}^{18}  \div  {3}^{6}  \div  {3}^{10}  + 3) \div  {2}^{3}  =

 \bf ( {2}^{2}  +  {3}^{12}  \div  {3}^{10}  + 3) \div  {2}^{3}  =

 \bf (  {2}^{2}  +  {3}^{2}  + 3) \div  {2}^{3}  =

 \bf (4 + 9 + 3) \div 8 = 16  \div 8 =  \red{ \boxed{   \bf 2   } }

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