Question

помогите пожалуйста срочно
2,3,4 пж срочно

Answer 1

▪1)

$5(5 {a}^{ - 3} ) ^{ - 2} {a}^{ - 2} = \frac{ 5{a}^{6} }{ {5}^{2} {a}^{2} } = \frac{ {a}^{4} }{5} \\ - - - - \\ \frac{ {a}^{4} }{5} = \frac{ ({0.2}^{ - 1} ) ^{4} }{5} = \frac{ {5}^{4} }{5} = {5}^{3} = 125$

▪2)

${(0.5 {a}^{ - 2} )}^{ - 2} \div {(32 {a}^{5} )}^{3} = \frac{ {2}^{2} {a}^{4} }{( {2}^{5} ) ^{3} {a}^{15} } = \frac{ {2}^{2} }{ {2}^{15} {a}^{11} } = \frac{1}{ {2}^{13} {a}^{11} } \\ - - - - \\ \frac{1}{ {2}^{13} {a}^{11} } = \frac{1}{ {2}^{13} \times {( {2}^{4}) }^{11} } = \frac{1}{ {2}^{13} {2}^{44} } = \frac{1}{ {2}^{57} }$

▪3)

$( {2}^{3} {a}^{ - 3} ) ^{ - 1} \times 64 {a}^{ - 4} \div {a}^{ - 5} = \frac{ {a}^{3} }{ {2}^{3} } \times \frac{{2}^{6} }{ {a}^{4} } \div \frac{1}{ {a}^{5} } = \frac{ {2}^{3} {a}^{5} }{ a} = {2}^{3} {a}^{4} = 8 {a}^{4} \\ - - - - \\ 8 {a}^{4} = 8 \times {( - 0.125)}^{4} = 8 \times ( - \frac{1}{8} ) ^{4} = \frac{ 8 }{ {8}^{4} } = \frac{1}{ {8}^{3} } = \frac{1}{512}$

▪4)

$27( { - 3}^{2} {a}^{3} ) \div ( {3}^{5} {a}^{1} ) ^{3} = \frac{ {3}^{3} ( { - 3}^{2} {a}^{3} )}{ {3}^{15} {a}^{3} } = \frac{ - {3}^{2} {a}^{3} }{ {3}^{12} {a}^{3} } = - \frac{1}{ {3}^{10} } = - 3 ^{ - 10}$