Question

Simplifique as expressões:

Answer 1

a)

$\frac{ {( {x}^{2} {y}^{5})}^{4} }{ {x}^{3} {y}^{2} } = \frac{ {x}^{8}. {y}^{20}}{ {x}^{3} {y}^{2} } = {x}^{8 - 3}{y}^{20 - 2} \\ = \large {x}^{5} {y}^{18}$

b)

${3}^{n} \div {3}^{n - 5} = {3}^{n - (n - 5)} = {3}^{n - n + 5} \\ = {3}^{5} = 243$

c)

${p}^{3n + 1}. {p}^{n - 1} = {p}^{3n + 1 + n - 1} = {p}^{4n}$

d)

$\frac{-{2}^{6}}{ { - 2}^{4} } = { - 2}^{6 - 4} = - {2}^{2} = - 4$