Question

Por favor me ajudem, é muito importante que tenha o cálculo.
O valor da expressão é:
x=[(1/2)² . (1/ 3)³] ^4 . 1/2 . (1/3)-³

a) (1/6)^9
b) (1/6)^12
c) (1/6)^17
d) (1/6)^7
e) (1/6)^5

Answer 1

x=[(1/2)² . (1/ 3)³] ^4 . 1/2 . (1/3)-³

x = (1/2)^8 . (1/3)^12 . 1/2^1 . (1/3)-³
   
x = (1/2)^( 8+1). (1/ 3)^(12-3) ==>  (1/2)^9 .(1/3)^9

x = [(1/2) .(1/3)]^9 ==> (1/6)^9  ou 6^-9