Question

respondam sem comentar besteira pfvr, preciso entregar hoje ​

Answer 1

Resposta:

A) √2^3.5^4

$= \sqrt{ {2}^{2} } .2. {5}^{2} . {5}^{2}$

$= 2.5.5\sqrt{2}$

$= 50 \sqrt{2}$

B) ^4√16x^4 =

$\sqrt[4]{ {16x}^{4} } = x\sqrt{16}$

C)

$\sqrt[5]{ \frac{32}{ {x}^{5} } } = \frac{ \sqrt[5]{32} }{ \sqrt[5]{ {x}^{5} } } = \frac{ \sqrt[5]{ {2}^{5} } }{x} = \frac{2}{x}$

D)

$\sqrt{ \frac{ \sqrt{ {256y}^{4} } }{ \sqrt{ {625x}^{4} } } } = \frac{ \sqrt{ \sqrt{ {256y}^{4} } } }{ \sqrt{ \sqrt{ {625x}^{4} } } } = \frac{ \sqrt[4]{ {256y}^{4} } }{ \sqrt[4]{ {625}^{4} } } = \frac{y \sqrt[4]{256} }{x \sqrt[4]{625} } = \frac{y \sqrt[4]{ {2}^{4}. {2}^{4} } }{x \sqrt[4]{ {5}^{4} } } = \frac{y.2.2}{x.5} = \frac{4y}{5x}$