Question

ДАЮ 30 БАЛЛОВ КТО СДЕЛАЕТ СРОЧНО

Answer 1

Ответ:

1) $1.5 \times {2}^{4} - {3}^{2} = \frac{3}{2} \times 16 - 9 = \\ 3 \times 8 - 9 = 24 - 9 \\ 15$

${a}^{7} \times {a}^{4} = {a}^{7 + 4} = {a}^{11 } \\ {a}^{7} \div {a}^{4} = {a}^{7 - 4} = {a}^{3} \\ ( {a}^{7} ) ^{4} = {a}^{28} \\ \frac{ {a}^{17} \times { ({a}^{3}) }^{3} }{ {a}^{20} } = \frac{ {a}^{17} \times {a}^{9} }{ {a}^{20} } = \frac{ {a}^{17 + 9} }{ {a}^{20} } = \frac{ {a}^{26} }{ {a}^{20} } = {a}^{6}$

$- 3 {x}^{3} {y}^{4} {x}^{5} \times 4 {y}^{3} = - 12 {x}^{9} {y}^{7} \\ {( - 4 {a}^{6}b) }^{3} = - 64 {a}^{18} {b}^{3}$

$(5 {a}^{2} - 2a - 3) - (2 {a}^{2} + 2a - 5) = 5 {a}^{2} - 2a - 3 - 2 {a}^{2} - 2a + 5 = 3 {a}^{2} - 4a + 2$

$\frac{ {49}^{5} \times {7}^{12} }{ {343}^{7} } = \frac{ {( {7}^{2}) }^{5} \times {7}^{12} }{ {( {7}^{3}) }^{7} } = \frac{ {7}^{10 + 12} }{ {7}^{21} } = \frac{ {7}^{22} }{ {7}^{21} } = 7$

${ (\frac{4}{7}) }^{6} \times {(1 \frac{3}{4} )}^{4} = \frac{ {4}^{6} }{ {7}^{6} } \times \frac{ {7}^{4} }{ {4}^{4} } = \frac{ {4}^{2} }{ {7}^{2} }$

$81 {x}^{5} y \times ( - \frac{1}{3} x {y}^{2} ) ^{3} = 81 {x}^{5} y \times ( - \frac{1}{27} ) {x}^{3} {y}^{6} = - 3 {x}^{8} {y}^{7}$

$(5 {x}^{2} - 3xy - {y}^{2} ) - (4 {x}^{2} - 6xy - {y}^{2} ) = 5 {x}^{2} - 3xy - {y}^{2} - 4 {x}^{2} + 6xy + {y}^{2} = {x}^{2} + 3xy$

$- 8 {a}^{3} b = - 2 \times 4 {a}^{3} b = - 2 \times - 5 = 10 \\ 4 {a}^{6} {b}^{2} = {a}^{3} b \times 4 {a}^{3} b = {a}^{3} b \times ( - 5) = - 5 {a}^{3} b$