Question

0,25²×+³=4×+¹
porfavor manda resposta

Answer 1

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>

Answer 2

Olá Cleo,

aplique as propriedades da potenciação:

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

____________________________

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

Espero ter ajudado e tenha ótimos estudos =))