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Dayvise
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Master Exponentiation

Learn the secrets of rapid mental computation used in competitive exams. These strategies will help you bypass traditional paper-and-pencil methods.

➕ Addition ➖ Subtraction ✖️ Multiplication ➗ Division x² Squaring xⁿ Exponentiation √ nth Root % Percentage △ Pythagorean Triples lcm LCM hcf HCF
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★ Memorize Base Powers

Learn powers of 2 (up to 2^10), 3 (to 3^5), and 4 (to 4^4). This instantly bypasses 80% of exponent questions.

Example
2^6 = 64, 3^4 = 81, 4^3 = 64
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★ Break Down Exponents

Use rules of exponents: x^(ab) = (x^a)^b to simplify high exponents into smaller steps.

Example
4^3 is the same as (2^2)^3 = 2^6 = 64
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★ Power of a Product

If the base is composite, break it into prime factors: (ab)^x = a^x × b^x.

Example
6^3 = (2 × 3)^3 = 2^3 × 3^3 = 8 × 27 = 216

⭐ Must Memorize: Powers of 2, 3, 4, 5

Know these 40 values instantly — they form the backbone of all exponentiation.

2ⁿ
2^1 2
2^2 4
2^3 8
2^4 16
2^5 32
2^6 64
2^7 128
2^8 256
2^9 512
2^10 1024
3ⁿ
3^1 3
3^2 9
3^3 27
3^4 81
3^5 243
3^6 729
3^7 2187
3^8 6561
3^9 19683
3^10 59049
4ⁿ
4^1 4
4^2 16
4^3 64
4^4 256
4^5 1024
4^6 4096
4^7 16384
4^8 65536
4^9 262144
4^10 1048576
5ⁿ
5^1 5
5^2 25
5^3 125
5^4 625
5^5 3125
5^6 15625
5^7 78125
5^8 390625
5^9 1953125
5^10 9765625

📋 Powers Reference Table (base 2–25)

Squares and cubes for bases 2 through 25.

base n² n³
2 4 8
3 9 27
4 16 64
5 25 125
6 36 216
7 49 343
8 64 512
9 81 729
10 100 1000
11 121 1331
12 144 1728
13 169 2197
14 196 2744
15 225 3375
16 256 4096
17 289 4913
18 324 5832
19 361 6859
20 400 8000
21 441 9261
22 484 10648
23 529 12167
24 576 13824
25 625 15625

🧠 Range Practice

Device-only practice sets. Your last score is stored only in this browser.

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