Question

Select the correct answer.Which expression is equivalent to 56x?y5, if x+ 0 and y# 02A. 2r2y7x42OB. 8ry87r4y2C. 8+245/7«y2OD. 2x4,237

Answer 1

A.

`2x^2y^{}\sqrt[3]{7xy^2}`

Explanation:

We have the following expression

`\sqrt[3]{56x^7y^5}`

We simplify and we have the following:

`\begin{gathered} \sqrt[3]{56}=2\sqrt[3]{7} \\ \sqrt[3]{x^7}=x^2\sqrt[3]{x} \\ \sqrt[3]{y^7}=y^{}\sqrt[3]{y^2} \\ \sqrt[3]{56x^7y^5}=2\sqrt[3]{7}\cdot x^2\sqrt[3]{x}\cdot y^3\sqrt[3]{y^2}=2x^2y^{}\sqrt[3]{7xy^22} \end{gathered}`