Question

Efetue:
(Gente me ajuda por favor)

Answer 1

Resposta:

letra a

${a}^{6} \times {a}^{4} = {a}^{10}$

letra b

$\frac{ {a}^{8} }{ {a}^{3} } = a^{5}$

letra c

$( \frac{2a {b}^{2} }{ {c}^{3} })^{2} \times ( \frac{ {a}^{2} c}{b} )^{3} = \\ \frac{4 {a}^{2} {b}^{4} }{ {c}^{6} } \times \frac{ {a}^{6} {c}^{3} }{ {b}^{3} } = \\ \frac{4 {a}^{8} {b}^{4} {c}^{3} }{ {b}^{3} {c}^{6} } \\ \frac{4 {a}^{8}b }{ {c}^{3} }$

letra d

$\frac{ (\frac{3 {x}^{2}y }{ {a}^{3} {b}^{3} } )^{2} }{ (\frac{3x {y}^{2} }{2{a}^{2} {b}^{2} })^{3} } = \\ \frac{ \frac{9 {x}^{4} {y}^{2} }{ {a}^{6} {b}^{6} } }{ \frac{27 {x}^{3 {y}^{6} } }{8 {a}^{6} {b}^{6} } } = \\ \frac{9 {x}^{4} {y}^{2} }{ {a}^{6} {b}^{6} } \times \frac{8 {a}^{6} {b}^{6} }{27 {x}^{3} {y}^{6} } = \\ \frac{8 {x}}{3 {y}^{4} }$

letra e

$( {3x)}^{4} = 81 {x}^{4}$