Pergunta
![21 calcule o Valor de cada poténcia.
[
( Al )|(1)/(2)|^-1=|2|^1=2 ( el )|(5)/(1)|=|(1)/(5)|^2
( B) )|(1)/(5)|^-2 |5|^2=3 ( F| )|(1)/(5)| cdot|(1)/(6)|
( Cl )|(-5)/(2)|^-3=
( DI )|(1)/(8)|^-1
]](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202502%2F21-calcule-o-valor-de-cada-potncia-al-121212-el-51152-b-tIZ3A1kEKa00.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
21 calcule o Valor de cada poténcia. [ ( Al )|(1)/(2)|^-1=|2|^1=2 ( el )|(5)/(1)|=|(1)/(5)|^2 ( B) )|(1)/(5)|^-2 |5|^2=3 ( F| )|(1)/(5)| cdot|(1)/(6)| ( Cl )|(-5)/(2)|^-3= ( DI )|(1)/(8)|^-1 ]
Solução

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PauloMestre · Tutor por 5 anos
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Vamos corrigir e calcular corretamente cada expressão:<br /><br />A) \(\left|\frac{1}{2}\right|^{-1} = 2\)<br />\[<br />\left|\frac{1}{2}\right|^{-1} = \left(\frac{1}{2}\right)^{-1} = 2<br />\]<br /><br />B) \(\left|\frac{1}{5}\right|^{-2} = 25\)<br />\[<br />\left|\frac{1}{5}\right|^{-2} = \left(\frac{1}{5}\right)^{-2} = 5^2 = 25<br />\]<br /><br />C) \(\left|\frac{-5}{2}\right|^{-3} = \frac{8}{125}\)<br />\[<br />\left|\frac{-5}{2}\right|^{-3} = \left(\frac{5}{2}\right)^{-3} = \left(\frac{2}{5}\right)^3 = \frac{8}{125}<br />\]<br /><br />D) \(\left|\frac{1}{8}\right|^{-1} = 8\)<br />\[<br />\left|\frac{1}{8}\right|^{-1} = \left(\frac{1}{8}\right)^{-1} = 8<br />\]<br /><br />Portanto, as respostas corretas são:<br /><br />A) 2<br />B) 25<br />C) \(\frac{8}{125}\)<br />D) 8
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