Question

(6²-5²)×3³-10² b)6²:(2³+1)×3²-5)c )(7×3²-1):8²-2×31 )

Answer 1

$(a) \\ ( {6}^{2} - {5}^{2} ) \times {3}^{3} - {10}^{2} \\ \\ (36 - 25) \times 27 - 100 \\ \\ 11 \times 27 - 100 \\ \\ 297 - 100 = \\ \\ = 195 \\ \\ \\ (b) \\ {6}^{2} \div ( {2}^{3} + 1) \times {3}^{2} - 5 \\ \\ {6}^{2} \div (8 + 1) \times {3}^{2} - 5 \\ \\ {6}^{2} \div 9 \times {3}^{2} - 5 \\ \\ \frac{ - 6 ^{2} }{9} \times {3}^{2} - 5 \\ \\ \frac{ {6}^{2} }{ {3}^{2} \times {3}^{2} } - 5 \\ \\ cancele \: \: o \: \: fator \: \: comum \: \: {3}^{2} \\ \\ {6}^{2} - 5 \\ \\ 36 - 5 = \\ \\ = 31 \\ \\ (c) \\ \\ ( 7 \times {3}^{2} - 1) \div {8}^{2} - 2 \times 31 \\ \\ (7 \times 9 - 1) \div {8}^{2} - 2 \times 31 \\ \\ (7 \times 9 - 1) \div {8}^{2} - 62 \\ \\ (63 - 1) \div {8}^{2} - 62 \\ \\ 62 + {8}^{2} - 62 \\ \\ \frac{62}{ {8}^{2} } - 62 \\ \\ \frac{62}{64} - 62 \\ \\ - \frac{1953}{32}$