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Gnom [1K]
2 years ago
8

Which expression is equivalent to xy^2/9?

Mathematics
1 answer:
Law Incorporation [45]2 years ago
5 0

Answer:

xy^\frac{2}{9} = x*\sqrt[9]{y^2}

Step-by-step explanation:

Given

xy^\frac{2}{9}

Required

The equivalent expression (see attachment)

We have:

xy^\frac{2}{9}

Split

xy^\frac{2}{9} = x*y^\frac{2}{9}

Apply the following laws of indices

y^\frac{m}{n} = \sqrt[n]{y^m}

So, we have:

xy^\frac{2}{9} = x*\sqrt[9]{y^2}

<em>Hence (d) is correct</em>

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