Respostas

2014-06-18T18:24:38-03:00
A = (0,25) -² - (0,5)-³ + (0,125)-¹
A = (25/100)⁻² - (5/10)⁻³ + (125/1000)⁻¹
A = (100/25)² - (10/5)³ + (1000/125)¹
A = (4)² - (2)³ + 8
A = 16 -8 +8
A= 16

quando o gabarito não bate com a resposta,
entra o grande nerd( a cpu), como juiz, para desempatar.
A=(0.25)^(-2) - (0.5)^(-3) + (0.125)^(-1)
A = <16.00000000>
2014-06-18T18:40:42-03:00
Olá Cleo,

aplique as propriedades da potenciação:

(0,25)^{2x+3}=4^{x+1}\\\\&#10;( \dfrac{1}{4})^{2x+3}=4^{x+1}\\\\&#10;(4^{-1})^{2x+3}=4^{x+1}\\\\&#10;\not4^{-2x-3}=\not4^{x+1}\\\\&#10;-2x-3=x+1\\&#10;-2x-x=1+3\\&#10;-3x=4\\\\&#10;x=-\dfrac{4}{3}\\\\&#10;\boxed{S=\{- \dfrac{4}{3}\}}

____________________________

 \sqrt[6]{1.000}*10^x=0,001\\\\&#10; \sqrt[6]{10^3}*10^x= \dfrac{1}{1000}\\\\\\&#10;10^{ \tfrac{3}{6} }*10^x= \dfrac{1}{10^3}\\\\\\&#10;10^{ \tfrac{1}{2} }*10^x=10^{-3}\\\\&#10;\not10^{ \tfrac{1}{2}+x }=\not10^{-3} \\\\&#10; \dfrac{1}{2}+x=-3\\\\&#10;1+2*x=2*(-3)\\&#10;1+2x=-6\\&#10;2x=-6-1\\&#10;2x=-7\\\\&#10;x=- \dfrac{7}{2}\\\\&#10;\boxed{S=\{-\dfrac{7}{2}\}}

Espero ter ajudado e tenha ótimos estudos =))
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