Question

preciso das respostas urgente pfv​

Answer 1

Explicação passo-a-passo:

$= - 5a {b}^{2} \times 4 {a}^{2} b \\ = ( - 5 \times 4) \times (a \times {a}^{2} ) \times ( {b}^{2} \times b) \\ = - 20 \times ( {a}^{1 + 2} ) \times ( {b}^{2 + 1} ) \\ = - 20 \times {a}^{3} \times {b}^{3} \\ - 20 {a}^{3} {b}^{3}$

$= \frac{ - 52 {y}^{8} {z}^{5} }{ - 13 {y}^{3} {z}^{2} } \\ \\ = \frac{ - 52}{ - 13} \times \frac{ {y}^{8} }{ {y}^{3} } \times \frac{ {z}^{5} }{ {z}^{2} } \\ \\ = 4 \times {y}^{8 - 3} \times {z}^{5 - 2} \\ \\ = 4 {y}^{5} {z}^{3}$

$= ( \frac{2}{3} {x}^{2} y {z}^{3} )^{4} \\ \\ = {( \frac{2}{3} )}^{4} \times ( {x}^{2} )^{4} \times {y}^{4} \times ( {z}^{3} )^{4} \\ \\ = \frac{ {2}^{4} }{ {3}^{4} } \times {x}^{(2 \times 4)} \times {y}^{4} \times {z}^{(3 \times 4)} \\ \\ = \frac{16}{81} \times {x}^{8} \times {y}^{4} \times {z}^{12} \\ \\ = \frac{16}{81} {x}^{8} {y}^{4} {z}^{12}$

Bons estudos.