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16 votes
16 votes
A and b are positive integers and a-b=2 ... Evaluate the following:

27^1/3 b / 9^1/2 a
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A and b are positive integers and a-b=2 ... Evaluate the following: 27^1/3 b / 9^1/2 a-example-1
User Itsananderson
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1 Answer

14 votes
14 votes

Answer:

Explanation:

a-b=2


\frac{27^{(1)/(3) b} }{9^{(1)/(2)a } } \\=\frac{(3^(3)) ^{(1)/(3) b} }{(3^(2) )^{(1)/(2) a} } \\=(3^b)/(3^a) \\=3^(b-a) \\=3^(-(-b+a)) \\=3^(-2)\\=(1)/(3^2) \\=(1)/(9)

User Zoran
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