(27sqrt [3](z^2))^(1)/(3)=square

To simplify the expression \((27\sqrt[3]{z^2})^{\frac{1}{3}}\), we can follow these steps:1. **Rewrite the expression inside the parentheses:** 2. **Apply the exponent to the entire expression:** 3. **Distribute the exponent to both terms inside the parentheses:** 4. **Simplify each term separately:** - For : - For \(\left(z^{\frac{2}{3}}\right)^{\frac{1}{3}}\): 5. **Combine the simplified terms:** Therefore, the simplified form of the given expression is: