Evaluate exponents
key notes :
💡 An exponent tells you how many times its base is used as a factor.
👉 Exponents are used to write repeated multiplication.
For example, for a base of 5 :
- 52 = 5 · 5 = 25
- 53 = 5 · 5 · 5 = 125
- 54 = 5 · 5 · 5 · 5 = 625
- 55 = 5 · 5 · 5 · 5 · 5 = 3,125
For example, for a base of 3:
| 32 | = | 3 · 3 = 9 |
| 33 | = | 3 · 3 · 3 = 27 |
| 34 | = | 3 · 3 · 3 · 3 = 81 |
| 35 | = | 3 · 3 · 3 · 3 · 3 = 243 |
For example, for a base of 2:
| 22 | = | 2 · 2 = 4 |
| 23 | = | 2 · 2 · 2 = 8 |
| 24 | = | 2 · 2 · 2 · 2 = 16 |
| 25 | = | 2 · 2 · 2 · 2 · 2 = 32 |
For example, for a base of 4:
| 42 | = | 4 · 4 = 16 |
| 43 | = | 4 · 4 · 4 = 64 |
| 44 | = | 4 · 4 · 4 · 4 = 256 |
| 45 | = | 4 · 4 · 4 · 4 · 4 = 1,024 |
Learn with an example
✈️ Evaluate.
92 =
- The base is 9 and the exponent is 2. Use 9 as a factor 2 times.
- 92 = 9 · 9
- = 81
✈️ Evaluate.
43 =
- The base is 4 and the exponent is 3. Use 4 as a factor 3 times.
- 43 = 4 · 4 · 4
- = 64
✈️ Evaluate.
62 =
- The base is 6 and the exponent is 2. Use 6 as a factor 2 times.
- 62 = 6 · 6
- = 36
Let’s practice!🖊️
