Question

Como simplificar essa conta?

Answer 1

Resposta:

Letra C

Explicação passo-a-passo:

$[[(\sqrt{3^{24}} )^{\frac{1}{2}}}]^{\frac{1}{3} }]^\frac{1}{2} \\\\[[(\sqrt{3^{24}} )^{\frac{1}{2}}}]^{\frac{1}{6} }]\\(\sqrt{3^{24}} )^{\frac{1}{12}}\\\\(3^{\frac{24}{2}} )^\frac{1}{12} \\\\3^{\frac{24}{24}}\\\\3^{1}\\\\3$

Answer 2

Temos que:

${ \{ {[ {( \sqrt{ {3}^{24} } )}^{ \frac{1}{2} } ]}^{ \frac{1}{3} } \}}^{ \frac{1}{2} } = { {[ {( \sqrt{ {3}^{24} } )}^{ \frac{1}{2} } ]}^{ \frac{1}{6} } } = {( \sqrt{ {3}^{24} } )}^{ \frac{1}{12} } \\ = {( {3}^{ \frac{24}{2} } )}^{ \frac{1}{12} } = {(3^{12} )}^{ \frac{1}{12} } = {3}^{ \frac{12}{12} } = 3$

letra (c)