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B=(37^15-37^14+37^13):(37^14-37^13+37^12)-56:(2^3)+13

Răspuns :

[tex]B = ( {37}^{15} - {37}^{14} + {37}^{13} ) \div ( {37}^{14} - {37}^{13} + {37}^{12} ) - 56 \div {2}^{3} + 13[/tex]

[tex]B = [ {37}^{13}( {3}^{2} - 3 + 1) ] \div [ {37}^{12}( {3}^{2} - 3 + 1) ] - 56 \div 8 + 13[/tex]

[tex]B = ( {37}^{13} \div {37}^{12} )[( {3}^{2} - 3 + 1) \div ( {3}^{2} - 3 + 1) ] - 7 + 13[/tex]

[tex]B = {37}^{13 - 12} \times 1 - 7 + 13[/tex]

[tex]B = {37}^{1} - 7 + 13[/tex]

[tex]B = 37 - 7 + 13[/tex]

[tex]B = 30 + 13[/tex]

[tex]B = 43[/tex]

37(37^14+37^13+37^12)/(37^14-37^13+37^12)-56/8+13= 37-7+13=43