Question

помогите с алгеброй 9 класс

Answer 1

${27}^{ - 3} \div {81}^{ - 2} = ( {3}^{3} )^{ - 3} \div ( {3}^{4} )^{ - 2} = {3}^{ - 9} \div {3}^{ - 8} = {3}^{ - 9 + 8} = {3}^{ - 1} = \frac{1}{3}$

$\frac{( - 36)^{ - 3} \times {6}^{4} }{ {216}^{ - 4} \times ( - 6) ^{9} } = \frac{ {6}^{ - 6} \times {6}^{4} }{ {6}^{ - 12} \times {6}^{9} } = \frac{ {6 }^{ - 6} }{ {6}^{12} \times {6}^{5} } = \frac{ {6}^{6} }{ {6}^{5} } = 6$

$\frac{ {21}^{5} \times {3}^{ - 7} }{ {63}^{ - 2} \times {7}^{8} } = \frac{ {21}^{5} \times {3}^{ - 7} }{ {3}^{ - 2} \times {21}^{ - 2} \times {7}^{8} } = \frac{ {21}^{7} }{ {3}^{5} \times {7}^{8} } = \frac{ {7}^{3} \times {3}^{7} }{ {3}^{5} \times {7}^{8} } = \frac{ {3}^{2} }{7} = \frac{9}{7}$

$\frac{(0.2) ^{ - 6} \times {25}^{ - 7} }{ {125}^{ - 3} } = \frac{ {5}^{6} \times {5}^{ - 14} }{ {5}^{ - 9} } = {5}^{15} \times {5}^{ - 14} = 5$