Question

(UFRN) 2^3/2x4^1/2/8^5/6 é igual a :


A)1.
B)2.
C)4^1/2
D)8^3/4
E)8^9/8

Answer 1

Temos o seguinte:

$\frac{2^{ \frac{3}{2} } * 4^{ \frac{1}{2} }}{8^{ \frac{5}{6} }} = \frac{2^{ \frac{3}{2} } * 2^2^{ \frac{1}{2} }}{2^3^{ \frac{5}{6} }} = \frac{2^{ \frac{3}{2} } * 2^{ \frac{2}{2} }}{2^{ \frac{15}{6} }} = \frac{2^{ \frac{3}{2} }*2}{2^{ \frac{15}{6} }} = \frac{2^{ \frac{3}{2}+1 }}{2^{ \frac{15}{6} }} = \frac{2^{ \frac{5}{2} }}{2^{ \frac{15}{6} }} = 2^{ \frac{5}{2} - \frac{15}{6} } = 2^{ \frac{30-30}{12} } \\ \\ = 2^{ \frac{0}{12} } = 2^0 = 1$