Exponent Calculator
Calculate exponents, powers, and roots. Raise any number to any power including negative and fractional exponents.
6 values
Mean (Average)
24
Median
18.5
Sum
144
Count
6
Min
8
Max
47
About the Exponent Calculator
Exponents (powers) describe repeated multiplication and appear throughout mathematics, physics, computer science, and finance. From calculating compound interest (money raised to the power of time) to understanding binary storage (2 raised to the power of bits), exponents are fundamental. Our exponent calculator handles integer, fractional, negative, and decimal exponents, plus nth roots expressed as fractional powers.
Formula
xⁿ = x × x × x... (n times) | x^(1/n) = ⁿ√x | x^(−n) = 1/xⁿ
How It Works
xⁿ = x multiplied by itself n times. Fractional exponents: x^(1/n) = ⁿ√x. Negative exponents: x^(−n) = 1/xⁿ. Zero exponent: x⁰ = 1 for any non-zero x. Scientific notation: 3.5 × 10⁶ = 3,500,000. Rules: x^a × x^b = x^(a+b); (x^a)^b = x^(ab); (xy)^n = xⁿyⁿ.
Tips & Best Practices
- ✓2¹⁰ = 1,024 ≈ 1,000 — this approximation is essential for understanding computer storage sizes.
- ✓The Rule of 72: divide 72 by annual interest rate to estimate years to double your investment.
- ✓Compound interest is exponential: $1,000 at 7% for 30 years = $1,000 × 1.07³⁰ = $7,612.
- ✓Negative exponents represent fractions: 10⁻³ = 0.001 = 1/1000.
- ✓Exponent rules apply to variables just like numbers: (x³)² = x⁶, not x⁵.
Who Uses This Calculator
Students mastering pre-calculus, scientists expressing measurements in scientific notation, programmers understanding binary and hexadecimal, financial analysts modelling exponential growth, and engineers calculating signal attenuation and power relationships all use exponent calculations.
Optimised for: USA · Canada · UK · Australia · Calculations run in your browser · No data stored
Frequently Asked Questions
What does an exponent mean?
An exponent tells you how many times to multiply a base by itself. 2⁵ = 2×2×2×2×2 = 32.