Question

Por favor, me ajudem nessa tarefa, por favor

1) Simplifique as expressões supondo a . b # 0

a) ( a² . b³)² . ( a³ . b² )³ =

b) ( a₄ . b₃ )⁵
( a² . b)

c) (a⁴ . b²)³ =
( a . b²)²

d) { ( a³ . b²)² =

e) (a⁴ . b³) ⁴ . ( a³ . b⁴ ) ² =
( a³ . b²)³

Answer 1

a) (a4 . b6 ) . ( a9 . b6 ) ≠0
a4 . b6 . a9 . b6 ≠ 0
a4+9 . b6+6 ≠ 0
a13 . bb12

b) (a20 . b15 ) ≠ ( a12 . b5)
( a20 . b15 ) . ( a12 . b5 ) ≠ 0
a20+12 . b15+5 ≠ 0
a32 . b20

 c) ( a12 . b6 ) ≠ ( a2. b4 )
(a12 . b6 ) . (a2. b4 ) ≠ 0
a12+2 . b6+4 ≠ 0
a14 . b10

d) (a6 . b4) ≠ 0

e) ( a16 . b12 ) . ( a6 . b8 ) ≠ ( a9 . b6)
a16+6 . b12+8 ≠ (a9. b6)
a22 . b20 ≠ (a9 . b6)
a22+9 . b20+6 ≠ 0
a31 . b26

Answer 2

 a)  $a^{4+9} * b^{6+6} =a^1^3*b^1^2$

b) $\frac{ a^{20}* b^1^5^{} }{a^2*b} = a^{20-2} * b^{15-1} =a^1^8*b^1^4$

c) $\frac{a^1^2*b^6}{a^2*b^4} = a^{12-2} * b^{6-4} =a^1^0*b^2$

d) $a^6*b^4$

e) $\frac{ (a^{16}* b^{12})*(a^6*b^8) }{a^9*b^6} = \frac{a^2^2*b^2^0}{a^9*b^6} = a^1^3*b^1^4$