Question

32⁸ elevado a 3x = ⁴√1024



gente, pvr, socorro essa bomba é pra amanhã e eu n se fazer ​

Answer 1

$\Large\boxed{\begin{array}{l}\sf (32^8)^{3x}=\sqrt[\sf4]{\sf 1024}\\\sf(\{[2^5]\}^8)^{3x}=(2^{10})^{\frac{1}{4}}\\\sf 2^{5\cdot8\cdot3x}=2^{10\cdot\frac{1}{4}}\\\sf 2^{120x}=2^{\frac{10}{4}}\\\sf 120x=\dfrac{10}{4}\\\\\sf480x=10\\\sf x=\dfrac{10}{480}\\\\\underline{\rm simplificando\,por\,10\,temos:}\\\sf x=\dfrac{10\div10}{480\div10}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{1}{48}}}}}\end{array}}$