Question

Which expression is equivalent to xy^2/9?

A) sqrtxy^9

B) 9sqrtxy^2

C) x(sqrty^9)

D) x(9sqrt^2)

Answer 1

$\text{Use:}\\\sqrt[n]{a^m}=a^\frac{m}{n}\\---------------\\xy^\frac{2}{9}=x\sqrt[9]{y^2}\to D.$