Bài 5: Tìm số nguyên dương n biết rằng:

a) 32 < 2ⁿ < 128;

b) 2.16 ≥ 2² > 4;

c) 9.27 ≤ 3ⁿ ≤ 243.

Bài 6: So sánh:

a) 99²⁰ và 9999¹⁰;

b) 3²¹ và 2³¹;

c) 2³⁰ + 3³⁰ + 4³⁰ và 3.24¹⁰.

Giúp mình nha, đang cần gấp >_<

Bài 3: Tính giá trị của:

a) M = 100² - 99² + 98² - 97² + ... + 2² - 1²;

b) N = (20² + 18² + 16² + ... + 4² + 2²) - (19² + 17² + 15² + ... + 3² + 1²);

c) P = (-1)ⁿ.(-1)²ⁿ⁺¹.(-1)ⁿ⁺¹.

Bài 13: Tìm x biết:

a) (x - 1)³ = 27; e) 5^{x + 2} =625;

b) x² + x = 0; f) (x - 1)^{x + 2} = (x - 1)^{x + 4};

c) (2x + 1)² = 25; g) (2x - 1)³ = -8;

d) (2x - 3)² = 36; h) 1/4 . 2/6 . 3/8 . 4/10 . 5/12 ... 30/62 . 31/64 = 2^x.

Giúp mình với, đang cần gấp >_<

Bài 1: Cho x ∈ Q và x ≠ 0. Hãy viết x¹² dưới dạng:

a) Tích của hai lũy thừa trong đó có một lũy thừa là x⁹ ?

b) Lũy thừa của x⁴ ?

c) Thương của hai lũy thừa trong đó số bị chia là x¹⁵ ?

Bài 2: Tính nhanh:

a) A = 2008^{(1.9.4.6).(9.4.7)...(1.9.9.9)};

b) B = (1000 - 1³).(1000 - 2³).(1000 - 3³)...(1000 - 50³).

Giúp mình với nha, đang cần gấp >_<

III. Rewrite these sentences

1. I see my parents every Sunday morning. (last Sunday) =>

2. My friend John always asks a lot of questions (this morning) =>

3. They go to the mountain in the winter (last winter) =>

4. Julie meets Tom from school every afternoon (this afternoon) =>

5. He eats a lot in the evenings (last night) =>

6. I love cycling at the weekend (when I was a child) =>

7. That TV programme starts at 7:30 every Friday (this morning) =>

8. We always have a nice time with them. (on holiday) =>

9. The garden looks lovely in the spring. (last spring) =>

10. We paint our house every year (in 1998) =>

IV. Supply the correct verb form

1. A: Where __________________(you go) for your last summer holiday?

B: We _____________(go) to Egypt.

A: Oh really? How interesting! _____________________(you/enjoy) it?

B: Oh, yes, we ________________. Paul _________________(love) the Nile River and I_____________(think) the pyramids and all the historical sights_______________(be) fascinating.

A: How long ______________(you/stay)?

B: For 4 weeks. We _________________(be) there for the whole of October.

A: How nice! So you __________________(have) lots of time to travel round.

B: Yes, we_____________. Well, quite a lot. But we only _______________(see) a few places so I’d like to go again.

A: ______________(you/learn) any Egyptian Arabic?

B: I______________ but Paul _______________. I _______________(study) the language for a few weeks before we _____________(go). I _____________(find) a good Arabic language cassette in the local library and that ______________(be) helpful.

2. I (be)___ a student in Moloxop School in 1998.

3. A number of (duck) ___ (go) ___ through here, yesterday .

4. While Tom (play)…… the piano, his mother was doing the washing-up.

5. He (drink) some juice and then he ate a few chips.

6. We (wait) _________for Jane, when suddenly Louis (come)_________ around the corner.

7. I (cycle)_________through the park, when I (hear)________ a strange noise.

8. He (pass)________ her a message when the teacher (not look)_________.

9. I(felt)_______ asleep while I (watch)__________TV last night.

10. When Mike and Jane (paint)_________the walls, their dog (knock)_______ over the paint pot.

11. Tom (break)________ his leg when he (play)__________frisbee.

12. The phone (ring)_________when I (sit)_________on the toilet.

13. I (jog)______in the park, when two squirrels (cross)_______ my way.

14. Robert (felt)_________ off the ladder when he (pick)__________cherries.

15. Archimedes (discover) __________the theory of buoyancy while he (take)____________a bath.

16. When we (travel)________around Ireland, we (meet)_________ some very nice people.

18. While she (speak)_________on the phone, the milk boiled over.

19. When I (leave)__________ the house this morning, the sun(shine)___________.

20. Caroline (burn)__________ her hand when she (iron)__________her clothes.

21. When I (do)____________the washing­up, I (break)_________a plate.

22. While Tom (play)________the piano, his mother (do)______________the washing­ up.

23. He (drink)___________ some juice and then he (eat)___________ a few chips.

24. I (have)______________dinner when I suddenly (hear) a loud bang.

25. When my father (work)__________in the garden, an old friend (pass) ____________by to see him.

26. She (go)________to school, (take)___________ out her textbook and (begin)________________ to learn.

27. When it (start)__________ to rain, our dog (want)___________ to come inside.

28. When Jane (do)___________a language course in Ireland, she (visit)____________Blarney Castle.

29. When I (be)________ on my way home, I (see)__________ an accident.

30. I (not understand)_____________what they (talk)_____________about.

31. While I (cycle)_________past some villages, I (see)_______ some people in their gardens.

32. One man was (move)_______the grass while his wife (pick)__________strawberries.

33. After one hour of cycling in sunshine, a big fat raincloud suddenly

(appear)____________ and it (start)__________ to rain.

34. Luckily, a farmer (notice)__________ me and (tell)_________ me to come in.

35. While it (rain)__________outside, I (sit)_____________in the farmer's house. After a while, the sun (come)________ out again. I (thank) ____________the farmer for his hospitality and (move)_______ on.

Tại hạ hiện đang cần gấp, do chí khôn của tại hạ có hạn, mong các thí chủ cao minh làm giúp :>

Tại hạ xin cáo từ, cảm ơn các thí chủ trước ^_^