1.Найдите значение выражения: 1,3/1+1/4 (4,1*10^-2)(9*10^-2) (9/16+2целых 3/8)*4 4целых 7/8:(2целых 3/4+1целая 10/19

1. Найдем значения выражения:

1,3/1 + 1/4 = 1,3 + 1/4 = 1,3 + 0,25 = 1 + 0,3 + 0,25 = 1 + 0,55 = 1,55;

(4,1 * 10 ^ (- 2)) * (9 * 10 ^ (- 2)) = 4,1 * 10 ^ (- 2) * 9 * 10 ^ (- 2) = 4,1 * 9 * 10 ^ (- 2 * (- 2)) = 4,1 * 9 * 10 ^ 4 = 36,9 * 10 ^ 4 = 369 ^ 10 ^ 3 = 369 000;

(9/16 + 2 3/8) * 4 = (9/16 + 19/8) * 4 = 9/4 + 19/2 = (9 + 19 * 2)/4 = (9 + 36)/2 = 45/2 = 22,5;

4 7/8 : (2 3/4 + 1 10/19) = 39/8 : (11/4 + 29/19) = 39/8 : ((11 * 19 + 29 * 4)/76) = 39/8 : (325/76) = 39/8 * 76/325 = 3/2 * 19/25 = 77/50;

2. (c ^ (- 3)) ^ (- 4)/c ^ (- 6) = (c ^ (- 3 * (- 4))/c ^ (- 6) = (c ^ 12)/c ^ (- 6) = c ^ (12/(- 6)) = c ^ (- 12/6) = c ^ (- 2);

3. (m ^ (- 3)) ^ (- 4) * m ^ (- 10) = m ^ 12 * m ^ (- 10) = m ^ (12 - 10) = m ^ 2;

4.Решим уравнения:

1) (x - 4)/(x - 6) = 2;

2 * (x - 6) = x - 4;

2 * x - 12 = x - 4;

2 * x - x = - 4 + 12;

x = 8;

2) (x - 5)/(x - 11) = - 5;

- 5 * x + 55 = x - 5;

- 6 * x = - 60;

x = 10;

3) (x - 6)/(2 - x)/3 = 3;

(x - 6)/(2 - x) * 1/3 = 3;

(x - 6)/(2 - x) = 9;

x - 6 = 18 - 9 * x;

10 * x = 24;

x = 2,4;

4) (1 + x)/2 = 2 * x + 7/5;

5 + 5 * x = 20 * x + 14;

- 15 * x = 9;

x = - 9/15;

5) x/3 + x/7 = 5;

(7 * x + 3 * x)/21 = 5;

10 * x = 105;

x = 10,5;

6) - 3 + 1 + (x - 5) = 5 * (3 - x ) + 5;

- 2 + x - 5 = 15 - 5 * x + 5;

x - 7 = 20 - 5 * x;

6 * x = 27;

x = 27/6.