Question

Calculando o valor de 〖(16)〗^(5/4) obtemos :

a) 21

b) 32

c) 18

d) 1654

Answer 1

$16 ^{ \frac{5}{4} } = \sqrt[4]{16 ^{5} } = \sqrt[4]{16 ^{2} *16 ^{2}*16 ^{1} } = \sqrt[4]{4 ^{4}*4 ^{4}*4 ^{2} } = \sqrt[4]{4 ^{4} } * \sqrt[4]{4 ^{4} } * \sqrt[4]{4 ^{2} } = 4 * 4 * 4 ^{2/4} = 16* \sqrt[2]{4} = 16*2 = 32$

Hipótese B)