1) 64¹/² = (8²)¹/² = 8¹ = 8
2) 121¹/² = (11²)¹/² = 11¹ = 11
3) (243 · 32)¹/⁵ = (3⁵ * 2⁵)¹/⁵ = (3⁵)¹/⁵ * (2⁵)¹/⁵ = 3 * 2 = 6<span>
4) 9</span>⁸<span> </span>·<span> 25</span>⁷ : 225⁶ = 9*9⁷ · 25⁷ : 225⁶ = 9 · (9·25)⁷ : (225)⁶ =
= 9·(225)⁷ : (225)⁶ = 9 · 225⁷⁻⁶ = 9 · 225 = 2025<span>
5) -150 </span>·<span> 128</span>¹/⁷ + 35 = -150 · (2⁷) ¹/⁷ + 35 = - 150 * 2 + 35 =
= - 300 + 35 = - 265
<span>
6) (1/25)</span>⁻⁶ · 3125³/⁵<span> </span>·<span> 5</span>⁻³<span> + 25</span>⁵/² · (1/5)³ =
= 25⁶ · (5⁵)³/⁵ · (1/5)³ + (5²)⁵/² · (1/5)³ =
= (5²)⁶ · 5³ · (1/5)³ + 5⁵ · (1/5)³ =
= 5¹²⁺³ · (1/5)³ + 5⁵ · (1/5)³ =
= 5¹⁵ · (1/5)³ + 5⁵ · (1/5)³ =
= 5¹⁵⁻³ + 5⁵⁻³ =
= 5¹² + 5²<span>
7)(25</span>⁴)¹/⁸ = (25)⁴/⁸ = 25¹/² = (5²)¹/² =5
Ответ:
Пошаговое объяснение:
y=x-sin(2x), y'=1-2cos(2x), 1-2cos2x=0, 2cos2x=1, cos2x=1/2, 2x=p/3+2pn,
x=p/6+pn; и cos2x=-p/3+2pn, x=-p/6+pn, n E Z, в отрезок [0;П] попадет лишь точка х=p/6
y(0)=0-sin0=0
y(p/6)=p/6-sin(2*p/6)=p/6-sinp/3=p/6-V3/2=p-3V3 /6<0 (наименьш)
y(п)=п-sin(2п)=п-0=п (наиб)
24x42 = 1008
1008 + 1538 = 2546
Составим и решим пропорцию:
12 г - 100%
х г - 3%
х = 12 * 3 / 100 = 0,36 г
87/9-х=35/6
174/18-х/18=105/18
174-х=105
х=174+105
х=219
---------------------------
87/9-219=35/6
35/6=35/6