Question

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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Answer 1

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)`