Question

Resolva:
(11² . 13⁴)³    
(11³ . 13⁵)²

Obs: Esse pontinho é sinal de multiplicação.

Answer 1

Olá Mascarado! 

Dado o problema, temos que:

$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}=\frac{11^{2\cdot3}\cdot13^{4\cdot3}}{11^{3\cdot2}\cdot13^{5\cdot2}}$
$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}=\frac{11^{6}\cdot13^{12}}{11^{6}\cdot13^{10}}$
$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}={11^{6-6}\cdot13^{12-10}}$
$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}={11^{0}\cdot13^{2}}$
$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}=1\cdot13^2$
$\frac{(11^2\cdot13^4)^3}{(11^3\cdot13^5)^2}=169$

Abraço,

Douglas Joziel.

Answer 2

 Resolva:
11elevado a 6 . 13elevado a 12    = 13 elevado a 12 =   13² = 169
11elevado a 6  . 13 elevado a 10      13 elevado a 10