Raise numbers to any power and see the exponent rules at work.
aⁿ means a multiplied by itself n times. 2¹⁰ = 1024.
An exponent tells you how many times to multiply a number by itself. This calculator raises any base to a whole, negative or fractional exponent, shows the exact integer value when it exists (up to thousands of digits), the scientific notation and the reciprocal, and has a second tool that demonstrates the product, quotient and power rules with your own numbers.
Negative exponents give reciprocals (2⁻³ = 1/8) and fractional exponents give roots (9^½ = 3). See the Root Calculator, Log Calculator, Scientific Notation Converter and Big Number Calculator.
The calculator applies the standard method step by step.
| Item | Value |
|---|---|
| Result | 1024 |
| Scientific notation | 1.024 × 10^3 |
| Reciprocal (a⁻ⁿ) | 0.0009765625 |
| Natural log of the result | 6.9314718056 |
| Number of digits | 4 |
| Power | Result |
|---|---|
| 2^5 | 32 |
| 2^10 | 1024 |
| 5^3 | 125 |
| 9^0.5 | 3 |
| 2^-3 | 0.125 |
| n | 2ⁿ | 10ⁿ |
|---|---|---|
| 0 | 1 | 1 |
| 1 | 2 | 10 |
| 2 | 4 | 100 |
| 3 | 8 | 1,000 |
| 4 | 16 | 10,000 |
| 5 | 32 | 100,000 |
| 6 | 64 | 1,000,000 |
| 7 | 128 | 10,000,000 |
| 8 | 256 | 100,000,000 |
| 9 | 512 | 1,000,000,000 |
| 10 | 1,024 | 10,000,000,000 |
| 11 | 2,048 | 100,000,000,000 |
| 12 | 4,096 | 1,000,000,000,000 |
| 13 | 8,192 | 10,000,000,000,000 |
| 14 | 16,384 | 100,000,000,000,000 |
| 15 | 32,768 | 1,000,000,000,000,000 |
| 16 | 65,536 | 10,000,000,000,000,000 |
A small number written above a base showing how many times to multiply the base by itself: 2³ = 2 × 2 × 2 = 8.
It means a reciprocal: 2⁻³ = 1 ÷ 2³ = 1/8 = 0.125.
A root: 9^(1/2) = √9 = 3 and 8^(2/3) = (∛8)² = 4.
Because aⁿ ÷ aⁿ = a⁰ and anything divided by itself is 1 (the case 0⁰ is undefined or conventionally 1).
Product: aᵐ·aⁿ = aᵐ⁺ⁿ. Quotient: aᵐ/aⁿ = aᵐ⁻ⁿ. Power of a power: (aᵐ)ⁿ = aᵐⁿ.
The result would be a complex number, not a real one — try the Root Calculator, which shows complex roots.
It uses the standard method: aᵐ × aⁿ = aᵐ⁺ⁿ aᵐ ÷ aⁿ = aᵐ⁻ⁿ (aᵐ)ⁿ = aᵐⁿ a⁻ⁿ = 1/aⁿ The full working and a worked example are shown on this page.
Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.
Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.
No. Everything is calculated in your browser and nothing you enter is uploaded or saved.
