Exponent Calculator
Calculate powers, roots, and exponential expressions with detailed step-by-step solutions
Calculator
Exponent Rules & Formulas
Basic Power Formula
an = a × a × ... × a
(n times)
Root Formula
n√a = a1/n
Exponent Laws
am × an = am+n
am ÷ an = am-n
(am)n = amn
a0 = 1
a-n = 1/an
Special Cases
a² = Square (a × a)
a³ = Cube (a × a × a)
√a = Square root (a1/2)
∛a = Cube root (a1/3)
a1/2 = √a
Frequently Asked Questions
Key exponent rules: (1) a^m × a^n = a^(m+n), (2) a^m ÷ a^n = a^(m-n), (3) (a^m)^n = a^(mn), (4) a^0 = 1, (5) a^(-n) = 1/a^n, (6) a^(1/n) = ⁿ√a. These rules help simplify exponential expressions.
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.