Question

ME AJUDEM!!! 

$\sqrt[6]{1000} . 10x = 0,001$

Answer 1

Olá Lídia,

use a propriedade da potenciação:

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

$\sqrt[6]{1.000}*10^x=0,001\\\\ \sqrt[6]{10^3}*10^x= \dfrac{1}{1.000}\\\\ 10^{ \tfrac{3}{6} }*10^x= \dfrac{1}{10^3}\\\\ 10^{ \tfrac{3}{6}+x }=10^{-3}\\ \not10^{ \tfrac{1}{2}+x }=\not10^{-3}\\\\ \dfrac{1}{2}+x=-3\\\\ \dfrac{1}{2}=-3-x\\\\ 1=2(-3-x)\\ -6-2x=1\\ -2x=1+6\\ -2x=7\\\\ x= \dfrac{~~7}{-2}\\\\ x= -\dfrac{7}{2}\\\\\\ \boxed{S=\left\{- \dfrac{7}{2}\right\}}$

Bons estudos =))