Question

calcule (4^-2:4).(2^7.2^5)

Answer 1

Vamos lá :

$( \dfrac{4^{-2}}{4} )*(2^{7}~*~2^{5}) \\ \\ \\ = (4^{- 2 - 1})*(2^{7 + 5}) \\ \\ \\ = (4^{- 3})*(2^{12}) \\ \\ \\ = ((2^{2})^{- 3})*(2^{12}) \\ \\ \\ = (2^{2*(- 3)})*(2^{12}) \\ \\ \\ = (2^{- 6})*(2^{12}) \\ \\ \\ = 2^{- 6 + 12} = 2^{6}$

Espero ter ajudado !!!