Problem

\( (-a)^{4}\left[\frac{(-a)^{3} \sqrt[6]{729}}{3 a}\right]^{2} \)

Answer

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Answer

\( = \frac{a^{4} \cdot a^6 \cdot 81 }{(3^2)} = \frac{a^{10} \cdot 81}{9}\)

Steps

Step 1 ：\( (-a)^{4}\left[\frac{(-a)^{3} \sqrt[6]{729}}{3 a}\right]^{2} = (-a)^{4}(\frac{(-a)^{3} \sqrt[6]{729}}{3a})^{2}\)

Step 2 ：\( = (-a)^{4}(\frac{(-a)^{6} \cdot 729^{\frac{1}{3}}}{3^{2}(a^2)}) \)

Step 3 ：\( = \frac{a^{4} \cdot a^6 \cdot 81 }{(3^2)} = \frac{a^{10} \cdot 81}{9}\)

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