Question

precisando urgente!​

Answer 1

Resposta:

11)

a)

$( \sqrt{ \sqrt{2} } ) {}^{4} = (((2) {}^{ \frac{1}{2} }) {}^{ \frac{1}{2} }) {}^{4} = \\ 2 {}^{ \frac{1}{2} \times \frac{1}{2} \times \frac{4}{1} } = 2 {}^{ \frac{4}{4} } = 2 {}^{1} = 2$

b)

$0.512 {}^{ \frac{1}{3} } = (\frac{512}{1000} {})^{ \frac{1}{3} } = \sqrt[3]{ \frac{512}{1000} } = \frac{8}{10} = \frac{4}{5} simplificado \: por \: 2.$

c)

$\sqrt[5]{\pi {}^{10} } = \sqrt[5]{\pi {}^{5} \times \pi {}^{5} } = \pi \times \pi = \pi {}^{2}$

d)

$( \sqrt{27} ) {}^{ \frac{2}{3} } = \:( (27) {}^{ \frac{1}{2} }) {}^{ \frac{2}{3} } =( 27){}^{ \frac{1}{2} \times \frac{2}{3}} = (27) {}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[3]{3 {}^{3} } = 3$

BONS ESTUDOS!