Exponent Calculator

Calculate powers, negative exponents, fractional exponents, and scientific notation with step-by-step explanations

Base (a)

Exponent (b)

Base (a)

Exponent (b)

Base (a)

Numerator (p)

Denominator (q)

Coefficient (a)

Power of 10 (b)

Calculation Details

Enter values to see detailed calculation steps and explanations.

a^m × a^n = a^(m+n)

a^m ÷ a^n = a^(m-n)

(a^m)^n = a^(m×n)

a^0 = 1 (if a ≠ 0)

a^(-n) = 1/a^n

a^(1/n) = ⁿ√a

a^(m/n) = ⁿ√(a^m)

An exponent tells how many times to multiply the base by itself. For example, 2³ = 2 × 2 × 2 = 8.

A negative exponent means "take the reciprocal and make the exponent positive". For example, 2⁻³ = 1/2³ = 1/8.

A fractional exponent represents roots. a^(m/n) = ⁿ√(a^m). For example, 8^(2/3) = ³√(8²) = ³√64 = 4.

Scientific notation expresses large or small numbers as a × 10^b, where 1 ≤ |a| < 10 and b is an integer.

Calculate square roots and nth roots

Advanced mathematical calculations

Simple arithmetic operations