Question

Which expression is equivalent to xy^2/9?

Answer 1

Its D.

Explanation:

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Answer 2

`xy^(2)/(9) = x*\sqrt[9]{y^2}`

Explanation:

Given

`xy^(2)/(9)`

Required

The equivalent expression (see attachment)

We have:

`xy^(2)/(9)`

Split

`xy^(2)/(9) = x*y^(2)/(9)`

Apply the following laws of indices

`y^(m)/(n) = \sqrt[n]{y^m}`

So, we have:

`xy^(2)/(9) = x*\sqrt[9]{y^2}`

Hence (d) is correct