Question

Preciso de ajuda urgente, (0.25) elevado a 2x = raiz quadrada de 32

Answer 1

$(0,25)^{2x}= \sqrt{32}\\\\ \left( \dfrac{25}{100}\right)^{2x}= \sqrt{2^5}\\\\ \left( \dfrac{25\div25}{100\div25}\right)^{2x}= 2^{ \tfrac{5}{2}}\\\\ \left( \dfrac{1}{4}\right)^{2x}=2^{ \tfrac{5}{2}$

$\left( \dfrac{1}{2^2}\right)^{2x}=2^{ \tfrac{5}{2}}\\\\ (2^{-2})^{2x}}=2^{ \tfrac{5}{2} }\\\\ \not2^{-4x}=\not2^{ \tfrac{5}{2}}\\\\ -4x= \dfrac{5}{2}\\\\ \huge\boxed{x=- \dfrac{5}{8}}}$