Question

задание на картинке даю 40б

Answer 1

Объяснение:

№1

а)

8 = 2³

4 = 2²

1 = 2⁰

1/2 = 2-¹

1/4 = 2-²

1/8 = 2-³

б)

1/125 = 5-³

1/25 = 5-²

1/5 = 5-¹

1 = 5⁰

25 = 5²

125 = 5³

№2

5 * 10-² = 5 * 1/(10²) = 5 * 1/100 = 5/100 = 1/20

16 * 2-⁵ = 16 * 1/(2⁵) = 16 * 1/32 = 16/32 = 1/2

5³ : 25⁰ = 125 : 1 = 125

3 : 2-³ = 3 : 1/(2³) = 3 : 1/8 = 3 * 8/1 = 24/1 = 24

2-⁴ + 2-² = 1/(2⁴) + 1/(2²) = 1/16 + 1/4 = 1/16 + 4/16 = 5/16

2-³ - 2-⁴ = 1/(2³) - 1/(2⁴) = 1/8 - 1/16 = 2/16 - 1/16 = 1/16

6-¹ + 3 * 3-² = 1/(6¹) + 3 * 1/(3²) = 1/6 + 3 * 1/9 = 1/6 + 3/9 = 3/18 + 6/18 = 9/18 = 1/2

4-¹ - 3-² = 1/(4¹) - 1/(3²) = 1/4 - 1/9 = 9/36 - 4/36 = 5/36