Mathematics, 03.07.2021 01:00, jnthnsngh
La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?
Answers: 2
un número racional, donde 
y 
, su opuesto es un número real 
. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:
. La proposición es verdadera.
y 
y ![c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}](/tpl/images/1388/4592/c4626.png)
y ![c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}](/tpl/images/1388/4592/74e34.png)
![d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}](/tpl/images/1388/4592/5ff09.png)
y ![c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}](/tpl/images/1388/4592/38d7d.png)
y 
![c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}](/tpl/images/1388/4592/45c1a.png)
![c' = \left[-\left(\frac{b}{a} \right)\right]^{n}](/tpl/images/1388/4592/61029.png)
es impar, entonces:
, la proposición es falsa. 
, la proposición es verdadera.
y 
y ![c' = \left[-\left(\frac{a}{b} \right)\right]^{n}](/tpl/images/1388/4592/54309.png)
y ![c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}](/tpl/images/1388/4592/e1f9c.png)
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La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la mism...
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