9514 1404 393
Answer:
C. 3x∛(y²z)
Step-by-step explanation:
The relevant rules of exponents are ...
[tex]\sqrt[n]{a^m} = a^\frac{m}{n}\\\\(a^b)^c=a^{bc}[/tex]
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Your expression can be rewritten and simplified as follows.
[tex]\displaystyle\sqrt[3]{27x^3y^2z}=(3^3x^3y^2z)^\frac{1}{3}=3xy^\frac{2}{3}z^\frac{1}{3}=3x(y^2z)^\frac{1}{3}=\boxed{3x\sqrt[3]{y^2z}}[/tex]
