Question

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

Answer 1

$B = ( {37}^{15} - {37}^{14} + {37}^{13} ) \div ( {37}^{14} - {37}^{13} + {37}^{12} ) - 56 \div {2}^{3} + 13$

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

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

$B = {37}^{13 - 12} \times 1 - 7 + 13$

$B = {37}^{1} - 7 + 13$

$B = 37 - 7 + 13$

$B = 30 + 13$

$B = 43$

Answer 2

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