A walkthrough, end to end.
- 1
Enter a base and an exponent.
- 2
The calculator returns base^exponent — supports negative, fractional, and decimal exponents.
- 3
Special cases (0, 1, negative bases with fractional exponents) are handled cleanly.
Exponentiation rules
x^a × x^b = x^(a+b). x^a / x^b = x^(a−b). (x^a)^b = x^(a·b). x^(−a) = 1/x^a. x^(1/n) = ⁿ√x. x^0 = 1 for x ≠ 0; 0^0 typically defined as 1 by convention.
What you can do with this.
Compound growth math
Money compounds as P × (1+r)^n. Use exponent calculator with base = 1.07 (7% growth) and exponent = 30 (years) → 7.61. Investment grows 7.6× over 30 years at 7%.
Negative exponents
10^(−3) = 0.001 = 1/1000. Common in scientific notation and physics for very small quantities. The calculator handles negative exponents cleanly.
Fractional exponents (roots)
8^(1/3) = 2 (cube root). 16^(1/4) = 2 (fourth root). The calculator works for any rational exponent — see the Root Calculator for explicit n-th root.
Decimal exponents
2^1.5 = 2 × √2 ≈ 2.828. Real-number exponents work via natural log: x^a = e^(a·ln(x)). Used in continuous-compounding finance and exponential decay.
Squaring / cubing numbers
Quick way: enter base and exponent 2 or 3. e.g., 17² = 289, 5³ = 125. Useful for verification and homework.
Powers of 10
10^n for any n: 10^6 = 1,000,000 (million), 10^9 = billion, 10^12 = trillion. Most relevant for scientific notation and large-number reasoning.
Negative base + fractional exponent
(−8)^(1/3) = −2 (real cube root of −8). But (−4)^(1/2) is undefined in real numbers (would be 2i). The calculator returns NaN for the latter case.
Exponent calculator 2026 — what's current
Built into every modern device. Standalone calculator wins for speed and avoiding mode confusion (radians vs degrees etc. — irrelevant here, just exponents).
Frequently asked.
Defined as 1 by widespread convention in combinatorics and most contexts. Some calculus contexts leave it undefined. The calculator returns 1.
(−4)^0.5 = √(−4) = 2i, which isn't real. JavaScript's Math.pow returns NaN here. The calculator does the same.
For very large or very small numbers, the calculator displays standard or scientific notation as appropriate. Browsers handle this automatically.
No. Calculations run entirely in your browser.