Question

1- Determine o valor da Expressão:

Answer 1

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

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

$\frac{16^{ \frac{3}{4}+1}}{ 8^{ \frac{1}{3}+2}}$ --->$2^{4} = 16^{1}$

$\frac{16^{ \frac{7}{4}}}{ 8^{ \frac{7}{3}}}$

$16^{ \frac{7}{4}}} : { 8^{ \frac{7}{3}}$ ---> raiz quarta de 16 = 2 e raiz cúbica de 8 = 2

$2^{ 7} : { 2^{ 7}$

$2^{ 7 - 7}$

$2^{ 0}$

= 1