5 to the power of 3 = 125
Quick Answer
5 to the power of 3 = 125
5 × 5 × 5 = 125
Exponents Calculator
Step-by-Step: 5 to the power of 3
Multiply the base 5 by itself 3 times:
5 × 5 × 5 = 125
Same as 5 Cubed
Since the exponent is 3, this calculation is the same as 5 cubed:
53 = 125
See our dedicated 5 Cubed page for the cube table and the inverse (cube root) cross-link.
Table of Powers of 5
| n | 5n |
|---|---|
| -5 | 0.00032 |
| -4 | 0.0016 |
| -3 | 0.008 |
| -2 | 0.04 |
| -1 | 0.2 |
| 0 | 1 |
| 1 | 5 |
| 2 | 25 |
| 3 | 125 |
| 4 | 625 |
| 5 | 3125 |
| 6 | 15625 |
| 7 | 78125 |
| 8 | 390625 |
| 9 | 1953125 |
| 10 | 9765625 |
Notation and Properties of Exponents
The expression bn is read as "b to the power of n", where b is the base and n is the exponent. Several common-language equivalents:
- b2 = "b squared" (the area of a square with side b)
- b3 = "b cubed" (the volume of a cube with edge b)
- bn = "b to the nth" (general usage)
Key rules
- Zero Rule: b0 = 1 for any b ≠ 0
- One Rule: 1n = 1 for any n
- Negative exponent: b−n = 1 / bn
- Fractional exponent: b1/n = n√b (e.g. b0.5 = √b)
- Product rule: bm × bn = bm+n
- Power rule: (bm)n = bm·n
Constants supported
This calculator accepts the mathematical constants pi (π ≈ 3.14159) and e (Euler's number ≈ 2.71828), with optional leading minus (-pi, -e) for negative variants.
References
Sample Exponent Calculations
Calculate powers of these numbers:
Related Calculators
- Squared (n²) — exponent fixed at 2
- Cubed (n³) — exponent fixed at 3
- Square Root (√n) — exponent fixed at 1/2
- Cube Root (∛n) — exponent fixed at 1/3
- Logarithm Calculator — the inverse of exponentiation