How to Use the Exponent Calculator

Select a calculation type (Power, Root, Scientific, or Laws) and enter the required values. The calculator handles negative exponents, fractional exponents, and applies the laws of exponents automatically.

Calculation Types

Power (x^n)

Calculate x raised to the power n. Supports any real number base and exponent. Examples: 2^10 = 1024, 5^(-2) = 0.04, 27^(1/3) = 3

Root (ⁿ√x)

Calculate the nth root of x. The square root (n=2) and cube root (n=3) are most common. Remember: ⁿ√x = x^(1/n)

Scientific Notation

Convert numbers in scientific notation (a × 10^n) to standard form. Useful for very large or very small numbers.

Exponent Laws

Apply the laws of exponents for multiplication, division, and power operations:

Product rule: a^m × a^n = a^(m+n)
Quotient rule: a^m ÷ a^n = a^(m-n)
Power of a power: (a^m)^n = a^(mn)

Key Exponent Rules

Zero exponent: a^0 = 1 (for a ≠ 0)
Negative exponent: a^(-n) = 1/a^n
Fractional exponent: a^(1/n) = ⁿ√a
Product of powers: (ab)^n = a^n × b^n

Applications

Compound interest calculations
Population growth models
Radioactive decay calculations
Computer science (binary powers)
Physics and engineering