1. Вычислите: a) 32^{1/5} - (4√2)²; б) log₃ 81 - 2 log₃ 9.

1. Вычислите:

1. \( a) 32^{\frac{1}{5}} - (4\sqrt{2})^2 \)
1. \( 32^{\frac{1}{5}} = \sqrt[5]{32} = 2 \)
2. \( (4\sqrt{2})^2 = 4^2 \cdot (\sqrt{2})^2 = 16 \cdot 2 = 32 \)
3. \( 2 - 32 = -30 \)
2. \( б) \log_3 81 - 2 \log_3 9 \)
1. \( \log_3 81 = \log_3 3^4 = 4 \)
2. \( \log_3 9 = \log_3 3^2 = 2 \)
3. \( 4 - 2 \cdot 2 = 4 - 4 = 0 \)

Ответ: а) -30; б) 0.