Question

Помогите пожалуйста алгебрааа​

Answer 1

3)

${( {2}^{3} {a}^{ - 3} )}^{ - 1} \times 64 {a}^{ - 4} = {2}^{3 \times ( - 1)} \times {a}^{ - 3 \times ( - 1)} \times {2}^{6} \times {a}^{ - 4} = {2}^{ - 3} \times {a}^{3} \times {2}^{6} \times {a}^{ - 4} = { 2}^{ - 3 + 6} \times {a}^{3 + ( - 4)} = {2}^{3} \times {a}^{ - 1} = \frac{ {2}^{3} }{ {a} }=\frac{ 8}{ {a} }$

при $a = - 0.125 = - \frac{1}{8}$,

$\frac{8}{a} = \frac{8}{ - \frac{1}{8} } = - 8×8 = - 64$

4)

$27( - {3}^{2} {a}^{3} ) \div {( {3}^{5} {a}^{ - 1} )}^{3} = ({3}^{3} \times ( - 1) \times {3}^{2} \times {a}^{3} ) \div ( {3}^{5 \times 3} \times {a}^{( - 1) \times 3} ) = ( {3}^{3 + 2} \times ( - 1) \times {a}^{3} ) \div ( {3}^{15} \times {a}^{ - 3} ) =( ( - 1) \times {3}^{5} \times {a}^{3} ) \div ( {3}^{15} \times {a}^{ - 3} ) = - 1 \times {3}^{5 - 15} \times {a}^{3 - ( - 3)} = - {3}^{ - 10} {a}^{6} = - \frac{{a}^{6}}{{3}^{ 10}}$

при $a = - 0.1 = - \frac{1}{10}$,

$- \frac{{a}^{6}}{{3}^{ 10}} = - \frac{{(- \frac{1}{10}) }^{6}}{{3}^{ 10}} = - \frac{ \frac{1}{{10}^{6}} }{{3}^{10}} - \frac{1}{ {10}^{6} \times {3}^{10} }$