Question

1-Indicar e calcular, o valor das potências relacionadas abaixo:
h) 4 elevado a 1/2 =
i) 2/3 elevado a -2 =
j) 8 elevado a 1/3 =
k) 1/27 elevado 1/3=​

Answer 1

1) h)

${4}^{ \frac{1}{2} }$

${ ({2}^{2} )}^{ \frac{1}{2} }$

${2}^{ 2\times \frac{1}{2} }$

${2}^{1}$

$2$

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i)

${( \frac{2}{3}) }^{ - 2}$

${( \frac{3}{2}) }^{2}$

$\frac{ {3}^{2} }{ {2}^{2} }$

$\frac{9}{4} = 2.25$

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j)

${8}^{ \frac{1}{3} }$

${ {(2}^{3}) }^{ \frac{1}{3} }$

${2}^{3 \times \frac{1}{3} }$

${2}^{1}$

$2$

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k)

${( \frac{1}{27}) }^{ \frac{1}{3} }$

$\sqrt[3]{ \frac{1}{27} }$

$\frac{ \sqrt[3]{1} }{ \sqrt[3]{27} }$

$\frac{1}{ \sqrt[3]{ {3}^{3} } }$

$\frac{1}{3} = 0.3$