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Unformatted text preview: (i) a 1 = a (ii) a x + y = a x a y (iii) a x y = ( a x ) y (iv) if a &gt; 1 and x &gt; y then a x &gt; a y . (a) Dene a b when a is a positive real number and b is a nonegative integer. Prove that your denition has the properties above. (b) Use part (a) to dene a b when a is a positive real number and b is an integer. Prove that your denition has the properties above. (c) Use part (b) to dene a b when a is a positive real number and b is a rational number. Prove that your denition has the properties above. (d) Use part (c) to dene a b when a is a positive real number and b is a real number. Prove that your denition has the properties above....
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 Summer '08
 RIEMAN
 Math

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