| \[{{\left[ \sqrt[3]{\sqrt[6]{{{2}^{9}}}} \right]}^{4}}\times {{\left[ \sqrt[6]{\sqrt[3]{{{2}^{9}}}} \right]}^{4}}=?\] |
A) \[27\]
B) \[{{2}^{4}}\]
C) \[{{2}^{3}}\]
D) \[{{2}^{66}}\]
Correct Answer: B
Solution :
| \[{{\left[ \sqrt[3]{\sqrt[6]{{{2}^{9}}}} \right]}^{4}}\times {{\left[ \sqrt[6]{\sqrt[3]{{{2}^{9}}}} \right]}^{4}}={{2}^{9\times \frac{1}{6}\times \frac{1}{3}\times 4}}\times {{2}^{9\times \frac{1}{3}\times \frac{1}{6}\times 4}}\] |
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