Exponent Calculator

About Exponents

What is an Exponent?

Exponentiation is a mathematical operation, written as aⁿ, where a is the base and n is the exponent. It represents repeated multiplication of the base by itself n times.

aⁿ = a × a × ... × a (n times)

Exponent Laws

• aⁿ × a^m = a^(n+m)
• a^-n = 1 / aⁿ
• a^m / aⁿ = a^(m-n)
• (a^m)ⁿ = a^(m×n)
• (a × b)ⁿ = aⁿ × bⁿ
• (a / b)ⁿ = aⁿ / bⁿ
• a¹ = a
• a⁰ = 1

Note: This calculator supports negative bases for integer exponents and decimal exponents but does not compute imaginary numbers (e.g., negative base with fractional exponent).