Question

Can anyone help me with this, please?

Answer 1

9514 1404 393

Answer:

C. 3x∛(y²z)

Explanation:

The relevant rules of exponents are ...

`\sqrt[n]{a^m} = a^(m)/(n)\\\\(a^b)^c=a^(bc)`

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Your expression can be rewritten and simplified as follows.

`\displaystyle\sqrt[3]{27x^3y^2z}=(3^3x^3y^2z)^(1)/(3)=3xy^(2)/(3)z^(1)/(3)=3x(y^2z)^(1)/(3)=\boxed{3x\sqrt[3]{y^2z}}`