Question

Which expression is equivalent to xy^2/9?

Answer 1

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Answer:

  the correct answer is marked

Step-by-step explanation:

The denominator of a fractional exponent becomes the index of the radical when the power is written using a radical. The fractional power only applies to the y-factor, so that is all that is under the radical.

  $\displaystyle xy^{\frac{2}{9}}=x\cdot (y^2)^{\frac{1}{9}}=\boxed{x\sqrt[9]{y^2}}$