Question

Calcule o valor da expressão
$( \frac{1}{2}) {}^{30} \times {3}^{30} \times ( \frac{2}{3} ) {}^{60}$

Answer 1

(1/2)^30 . 3^30 . (2/3)^60

Percebe-se que:

(2/3)^60 = (2/3)^30 . (2/3)^30

Assim:

(1/2)^30 . 3^30 . (2/3)^30 . (2/3)^30 =

(1/2 . 3 . 2/3 . 2/3)^30 =

(2/3)^30


RESPOSTA: (2/3)^30


Qualquer erro que encontrar na resolução ou dúvida que tiver sobre ela, pode dizer! :)

Answer 2

Boa tarde 

(1/2)^30 * 3^30 = (3/2)^30 

(2/3)^60 = (2/3)^30 * (2/3)^30 

(3/2)^30 * (2/3)^30 = 1 

fica (2/3)^30