Which expression is equivalent to 3/x5y?

asked Aug 16, 2022 29.4k views

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1 vote

Answer:

option B

Explanation:

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

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

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

Brianna answered Aug 21, 2022