Power Calculator
Calculate x raised to the power of n (x^n).
Power Rules
📘 How It Works
Exponentiation Definition
x^n means multiply x by itself n times. 2^5 = 2 × 2 × 2 × 2 × 2 = 32.
Zero Exponent
Any non-zero number raised to 0 equals 1. x^0 = 1. This is a mathematical convention.
Negative Exponents
x^(-n) = 1/(x^n). Negative exponents flip the base to the denominator.
Fractional Exponents
x^(1/2) = √x. Fractional exponents represent roots. x^(1/3) = cube root of x.
JavaScript Power Function
Uses Math.pow() for calculation, handling large numbers and decimals accurately.
💡 Common Use Cases
Compound Interest
Calculate future value with A = P(1 + r)^n. Exponents power growth calculations.
Scientific Notation
Work with large numbers: 10^6 = 1,000,000. Essential for science and engineering.
Computer Memory Sizes
Binary powers: 2^10 = 1024 (KB), 2^20 = 1,048,576 (MB). Understand memory sizes.
Exponential Growth
Model population growth, viral spread, or decay using exponential functions.
Physics Calculations
Formulas involving squares (E=mc²) and cubes (volume = s³) require exponents.
Math Homework
Quickly check exponent calculations for homework. Verify manual calculations.