Verified answer

Пошаговое объяснение:

1.

[tex]{( - 5 {a}^{3} {b}^{2} )}^{3} \times 0.04a {b}^{2} = - 125 {a}^{9} {b}^{6} \times 0.04a {b}^{ 2} = -5 {a}^{10} {b}^{8} [/tex]

2.

[tex]{( - 6 {a}^{3} {x}^{2} )}^{2} \times {( - \frac{1}{3} {a}^{2} {x}^{2}) }^{2} = 36 {a}^{6} {x}^{4} \times \frac{1}{9} {a}^{4} {x}^{4} = 4 {a}^{10} {x}^{8} = {(2 {a}^{5} {x}^{4} )}^{2} [/tex]

3.

[tex]( - 4 {x}^{4} {y}^{4} ) \times ( - 0.125 {x}^{2} {y}^{5} ) = 0.5 {x}^{6} {y}^{9} [/tex]

4.

[tex] {( - \frac{1}{2} {x}^{2} n ) }^{4} \times {( - 4 {x}^{3} {n}^{5})}^{2} = \frac{1}{16} {x}^{8} {n}^{4} \times 16 {x}^{6} {n}^{10} = {x}^{14} {n}^{14} = {(xn) }^{14} [/tex]