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[SPAM] [obm-l] Racionais



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Enuncie a defini=E7=E3o de potencia=E7=E3o (alfa)^n, para (alfa) racional e=
 n
inteiro e demonstre que valem as propriedades usuais Para todo ( alfa)
pertencente a Q ( racionais, m , n pestencente a Z ( inteiros):

(i) (alfa)^m * (alfa)^n =3D (alfa)^ ( m + n ).
(ii) [(alfa)^n]^n =3D (alfa)^ ( m*n).

Seria a demonstra=E7=E3o eu considerar que o conunto q cont=E9m uma "c=F3pi=
a" de Z ?
ou seja Z =3D { a/1 | a pertence Z }, que obviamente =E9 subconjunto de Q  =
e
considerar uma fun=E7=E3o Z--> Z barra definida por a E Z --> a/1 e a Z bar=
ra
????????

--=20
Kleber B. Bastos

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<div>Enuncie a defini=E7=E3o de potencia=E7=E3o (alfa)^n, para (alfa) racio=
nal e n inteiro e demonstre que valem as propriedades usuais Para todo ( al=
fa) pertencente a Q ( racionais, m , n pestencente a Z ( inteiros):</div>
<div>&nbsp;</div>
<div>(i) (alfa)^m * (alfa)^n =3D (alfa)^ ( m + n ).</div>
<div>(ii) [(alfa)^n]^n =3D (alfa)^ ( m*n).</div>
<div>&nbsp;</div>
<div>Seria a demonstra=E7=E3o eu considerar que o conunto q cont=E9m uma &q=
uot;c=F3pia&quot; de Z ? ou seja Z =3D { a/1 | a pertence Z }, que obviamen=
te =E9 subconjunto de Q&nbsp; e considerar uma fun=E7=E3o Z--&gt; Z barra d=
efinida por a E Z --&gt; a/1 e a Z barra&nbsp; ????????
<br clear=3D"all"><br>-- <br>Kleber B. Bastos </div>

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