Question

1) 2¹ x 3+√49 ÷ (24÷ 16) - (23 +5²) 2) √36 + (3¹ +5 x 7) + √4 x 9- (2³-7) 3) 13² x √25 -[(4³+√144) + (35 - 27)] 4) (8³x√36 -25+2³+√16 + 2)÷3 5) √36 x 16 +53 ÷ 25-125 x 2 6) 810 ÷ 3³-4x27 - (28-35) + 2² 144 x 84] 7) 1 200-[(44 - 28) + 8) (23 +34 +45-103)-121 x 10







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Answer 1

$1) {2}^{4} \times 3 + \sqrt{49} \div ( {2}^{4} \div 16) - (23 + {5}^{2} ) = \\ {2}^{4} \times 3 + 7 \div ( {2}^{4} \div 16 ) - (23 + {5}^{2} ) = \\ 16 \times 3 + 7 \div (16 \div 16) - (23 + 25) = \\ 16 \times 3 + 7 \div 1 - 48 = \\ 48 + 7 - 48 = \\ 55 - 48 = \\ 7$

$2) \sqrt{36} + ( {3}^{4} + 5 \times 7) + \sqrt{4} \times 9 - ( {2}^{3} - 7) = \\ 6 + ( {3}^{4} + 5 \times 7) + 2 \times 9 - ( {2}^{3} - 7) = \\ 6 + (81 + 5 \times 7) + 2 \times 9 - (8 - 7) = \\ 6 + (81 + 35) + 2 \times 9 - 1 = \\ 6 + 116 + 2 \times 9 - 1 = \\ 6 + 116 + 18 - 1 = \\ 122 + 18 - 1 = \\ 140 - 1 = \\ 139$

$3) {13}^{2} \times \sqrt{25} - [( {4}^{3} + \sqrt{144} ) + ( {3}^{5} - {2}^{7} )] = \\ {13}^{2} \times \sqrt{25} - [(64 +12) + (243 - 128) ] = \\ {13}^{2} \times \sqrt{25} - (76 + 115) = \\ {13}^{2} \times \sqrt{25} - 191 = \\ 169 \times 5 - 191 = \\ 845 - 191 = \\ 654$

$4)( {8}^{3} \times \sqrt{36} - {2}^{5} + {2}^{3} + \sqrt{16} + 2 ) \div 3 = \\ ( {8}^{3} \times 6 - {2}^{5} + {2}^{3} + 4 + 2 ) \div 3 = \\ (512 \times 6 - 32 + 8 + 4 + 2) \div 3 = \\ (3072 - 32 + 8 + 4 + 2) \div 3 = \\ (3040 + 8 + 4 + 2) \div 3 = \\ (3048 + 4 + 2) \div 3 = \\ (3052 + 2) \div 3 = \\ 3054 \div 3 = \\ 1018$

$5) \sqrt{36} \times {1}^{6} + {5}^{3} \div 25 - \sqrt[3]{125} \times 2 = \\ 6 \times {1}^{6} + {5}^{3} \div 25 - 5 \times 2 = \\ 6 \times 1 + 125 \div 25 - 5 \times 2 = \\ 6 + 5 - 10 = \\ 11 - 10 = \\ 1$

$6)810 \div {3}^{3} - 4 \times \sqrt[3]{27} - ( {2}^{8} - {3}^{5} ) + {2}^{2} = \\ 810 \div {3}^{3} - 4 \times \sqrt[3]{27} - (256 - 243 ) + {2}^{2} = \\ 810 \div {3}^{3} - 4 \times \sqrt[3]{27} - 13 + {2}^{2} = \\ 810 \div {3}^{3} - 4 \times 3 - 13 + {2}^{2} = \\ 810 \div 27 - 4 \times 3 - 13 + 4 = \\ 30 - 12 - 13 + 4 = \\ 18 - 13 + 4 = \\ 5 + 4 = \\ 9$

$7)1200 - [( {4}^{4} - {2}^{6} ) + \sqrt{144} \times 84 ] = \\ 1200 - [(256 - 64) + \sqrt{144} \times 84] = \\ 1200 - (192 + \sqrt{144} \times 84 ) = \\ 120 0- (192 + 12 \times 84) = \\ 1200 - (192 + 1008) = \\ 1200 - 1200 = \\ 0$

$8)( {2}^{3} + {3}^{4} + {4}^{5} - {10}^{3} ) - \sqrt{121} \times 10 = \\ (8 + 81 + 1024 - 1000) - \sqrt{121} \times 10 = \\ (89 + 1024 - 1000) - \sqrt{121} \times 10 = \\ (1113 - 1000) - \sqrt{121} \times 10 = \\ 113 - \sqrt{121} \times 10 = \\ 113 - 11 \times 10 = \\ 113 - 110 = \\ 3$