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)

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