Question

Which expression is equivalent to 3/x5y?

Answer 1

option B

Explanation:

`\sqrt[3]{x^5 \ y} = (x^5 \ y )^(1)/(3) \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^(1)/(n) \ \ , \ (xy)^a = x^a y^a]\\\\`

`= x^{ (5 * (1)/(3) )} \ y ^{(1)/(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^(ab) \ ]\\\\\\`

`= x^{(5)/(3) }\ y^{(1)/(3)}`