Question

1. Faça a multiplicação dos monomios:

a) 2x . 6z =
b) 5b² . 10b² =
c) 4a²x³ . (-5ax²) =

2. Faça a divisão dos monomios:

a) 20a²x³ : (-5ax²) =
b) 81x : 9x =
c) 144x³b² : 2xb =

Answer 1

Oie, tudo bom?

1. a)

$= 2x \: . \: 6z \\ = (2 \: . \: 6)xz \\ \boxed{ = 12xz}$

b)

$= 5b {}^{2} \: . \: 10b {}^{2} \\ = (5 \: . \: 10)b {}^{2} \\ \boxed{ = 50b {}^{2} }$

c)

$= 4a {}^{2} x {}^{3} \: . \: ( - 5ax {}^{2} ) \\ = - 4a {}^{2} x {}^{3} \: . \: 5ax {}^{2} \\ = - (4 \: . \: 5)a {}^{2} x {}^{3} a {}^{1} x {}^{2} \\ = - 20a {}^{2 + 1} \: . \: x {}^{3 + 2} \\ \boxed{ = - 20a {}^{3} x {}^{5} }$

2. a)

$= \frac{20a {}^{2} x{}^{3} }{ - 5ax {}^{2} } \\ = \frac{ - 4a {}^{2}x {}^{3} }{ax {}^{2} } \\ = \frac{ - 4ax {}^{3} }{x {}^{2} } \\ \boxed{ = - 4ax}$

b)

$= \frac{81x}{9x} \\ = \frac{81}{9} \\ \boxed{ = 9}$

c)

$= \frac{144x {}^{3}b {}^{2} }{2xb} \\ = \frac{72x {}^{3} b {}^{2} }{xb } \\ = \frac{72x {}^{2} b { }^{2} }{b} \\ \boxed{ = 72bx {}^{2} }$

Att. NLE Top Shotta