Question

11 Calcule.

urgenteee​

Answer 1

Resposta

Olá!

a)

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

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b)

${0.512}^{ \frac{1}{3} } = \sqrt[3]{ \frac{512}{1000} } = \frac{8}{10} = \frac{4}{5}$

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c)

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

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d)

${( \sqrt{27}) }^{ \frac{2}{3} } = { ({27}^{ \frac{1}{2} }) }^{ \frac{2}{3} } = {27}^{ \frac{2}{6} } = \\ \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = 3$

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Espero ter ajudado.