Common Powers to Memorize for the Exams

Powers of 2

n	2ⁿ
1	2
2	4
3	8
4	16
5	32
6	64
7	128
8	256
9	512
10	1024

Tip: 2¹⁰ ≈ 1000 (handy for approximations)

Powers of 3

n	3ⁿ
1	3
2	9
3	27
4	81
5	243
6	729

Powers of 4

n	4ⁿ
1	4
2	16
3	64
4	256
5	1024

🧩 Pattern: Powers of 4 end in 4, 6, 4, 6, …

Powers of 5

n	5ⁿ
1	5
2	25
3	125
4	625
5	3125
6	15625

🧠 Tip: Always ends in 5 or 25.

Powers of 6

n	6ⁿ
1	6
2	36
3	216
4	1296

🧩 Pattern: Always ends in 6 (after the first power).

Powers of 7

n	7ⁿ
1	7
2	49
3	343
4	2401

Powers of 8

n	8ⁿ
1	8
2	64
3	512
4	4096

Powers of 9

n	9ⁿ
1	9
2	81
3	729

🧩 Pattern: Units digit alternates — 9, 1, 9, 1…

Powers of 10

n	10ⁿ
1	10
2	100
3	1000
4	10000
5	100000

🧠 Easiest — just count zeros!

Common Squares of Fractions

Expression	Value
(½)²	¼
(⅓)²	1/9
(¼)²	1/16
(¾)²	9/16
(1.5)²	2.25
(2.5)²	6.25

✅ Study Tip:

• Learn 2ⁿ, 3ⁿ, 5ⁿ till n = 10, these appear the most.
• Recognize unit digit patterns, helps with “unit digit” or “digital root” questions.
• Keep this table handy with your squares/cubes for revision.