Exponent Calculator
Calculate xⁿ (any base to any power) including negative and fractional exponents, square roots, cube roots, and nth roots. Free and instant.
Exponent Calculator
toolznova.com • Free Calculator
How to Use
Calculate exponents and roots in 3 steps.
Choose Type
Select power (xⁿ), square root, cube root, or nth root.
Enter Values
Enter the base and exponent or the number for roots.
Get Result
Click Calculate for precise result to 10 significant figures.
Why ToolzNova?
Instant
Results in milliseconds.
Accurate
Precise formulas every time.
Private
No data sent anywhere.
Everywhere
Mobile, tablet, desktop.
Why Calculate Exponents?
- Science: Scientific notation and exponential growth/decay.
- Finance: Compound interest formula uses exponents.
- Computing: Binary powers (2¹⁰=1024) essential for computing.
- Physics: Inverse square laws use negative exponents.
- Geometry: Area uses x², volume uses x³.
- Algebra: Solving exponential equations.
Tips & Examples
- x⁰ = 1 for any non-zero x. x¹ = x.
- x⁻ⁿ = 1/xⁿ. Example: 2⁻³ = 1/8 = 0.125.
- x^(1/2) = √x. x^(1/3) = ∛x. Fractional exponents = roots.
- 2¹⁰ = 1024 — useful for memory/storage calculations.
- Very large results shown in scientific notation (e.g., 1.5e+15).
- Negative base + even exponent = positive result: (−2)² = 4.
Free Exponent Calculator Online
ToolzNova's free exponent calculator computes any base raised to any power including negative, fractional, and decimal exponents. Also calculates square roots, cube roots, and nth roots.
Exponents represent repeated multiplication. 2⁵ = 2×2×2×2×2 = 32. Fractional exponents represent roots — x^(1/2) = √x. Negative exponents represent reciprocals — x⁻¹ = 1/x.
Exponent Rules
xᵃ × xᵇ = x^(a+b). xᵃ ÷ xᵇ = x^(a-b). (xᵃ)ᵇ = x^(ab). x⁰ = 1. x⁻ⁿ = 1/xⁿ. x^(1/n) = ⁿ√x.