64⁻¹32²=(2⁶)⁻¹(2⁵)²=2⁻⁶2¹⁰=2⁻⁶⁺¹⁰=2⁴=16
(6³)²:36⁵=6⁶:(6²)⁵=6⁶:6¹⁰=6⁶⁻¹⁰=6⁻⁴=1/1296
(4⁻³2⁵)/8⁻⁴=2⁻⁶2⁵/2⁻¹²=2⁻⁶⁺⁵⁻⁽⁻¹²⁾=2¹¹=2048
(3⁻³)³3⁷/27²=3⁻⁹3⁷/3⁶=3⁻⁹⁺⁷⁻⁶=3⁻⁸=1/6561
25sin²x + 10cos²x = 13
15sin²x + 10sin²x + 10cos²x = 13
15sin²x + 10(sin²x + cos²x) = 13
sin²x + cos²x = 1
15sin²x + 10 = 13
15sin²x = 13 - 10 = 3
5sin²x = 1
sin²x = 1/5
cos²x = 1 - sin²x = 1 - 1/5 = 4/5
tg²x = sin²x/cos²x = (1/5)/(4/5) = 1/4<span>
tgx₁ = 1/2
tgx₂ = - 1/2
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1. б <span>2. 1/4 или по четыре раза каждого кубика</span>