Question

(5a la puterea a 3 bla puterea a 2 z):(6abz)-(2b)×(-5a)la puterea a 2​

Answer 1

$(5 {a}^{3} {b}^{2} z) \div ( 6abz) - 2b \times {( - 5a)}^{2}$

$= \frac{5}{6} {a}^{3 - 1} {b}^{2 - 1} {z}^{1 - 1} - 2b \times {( - 5)}^{2} \times {a}^{2}$

$= \frac{5}{6} {a}^{2} {b}^{1} {z}^{0} - 2b \times 25 {a}^{2}$

$= \frac{5}{6} {a}^{2} b - 50 {a}^{2} b$

$= \frac{5}{6} {a}^{2} b - \frac{300}{6} {a}^{2} b$

$= \frac{5 - 300}{6} {a}^{2} b$

$= - \frac{295}{6} {a}^{2} b$