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6 May, 20:58

A and b are positive integers and a-b = 3. Evaluate the following: 27^ (1/3 b) / 9^ (1/2 a)

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  1. 6 May, 21:19
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    1/27

    Step-by-step explanation:

    27^ (b/3) / 9^ (a/2) = (27^ (1/3)) ^b / (9^ (1/2)) ^a = (3^b) / (3^a) = 3^ (b-a)

    = 3^ ( - (a-b)) = 3^-3 = 1/3^3 = 1/27
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