Question

O valor da expressão

$\frac{ 16^{ \frac{3}{4} } }{ 8^{ \frac{1}{3} } } : \frac{2^{4} }{ 8^{2} }$

Answer 1

$\frac{ \sqrt[4]{16^3}}{ \sqrt[3]{8} } : \frac{16}{64} = \frac{8}{2} * \frac{64}{16} = \frac{4}{1} * \frac{4}{1} = 16$

Espero ter ajudado, bons estudos!

Answer 2

$\frac{16^{\frac{3}{4}}}{8^{\frac{1}{3}}}:\frac{2^4}{8^2}=\frac{(2^4)^{\frac{3}{4}}}{(2^3)^{\frac{1}{3}}}: \frac{2^4}{2^6}=\frac{2^3}{2}:\frac{2^4}{2^6}=\frac{2^3}{2}.\frac{2^6}{2^4}=\frac{2^9}{2^5}=2^4=16$