Question

resolva as seguintes espressoes : 128.(1/2)^t/2=0

resolva passo a passo com riqueza de detalhes por favor !!

Answer 1

resolva as seguintes espressoes : 128.(1/2)^t/2=0

128.(1/2)^t/2=0

(1/2)^t/2=  0 
             128

(√1/2^t)²=  0 
 (1) = 0            não existe 
 (2)^t

Answer 2

E aí mano,

use a propriedade da exponenciação, daí ficará dessa forma:

$\boxed{a^m*a^n~\to~a^{m+n}}$

$\dfrac{1}{m}~\to~m^{-1}\\\\ (a^m)^n~\to~a^{m*n}~\to~a^{mn}$

$128*\left( \dfrac{1}{2}\right)^{ \tfrac{t}{2} }=0\\\\ 2^7*(2^{-1})^{ \tfrac{t}{2} }=0\\\\ 2^7*2^{(-1)* \tfrac{t}{2}}=0\\\\ 2^7*2^{- \tfrac{t}{2}}=0\\\\ \boxed{2^{7- \tfrac{t}{2}}=0}$

Tenha ótimos estudos =))