Exponent Calculator

1. Enter the base. This is the number being raised to a power. It can be positive, negative, or a decimal. Examples: 2, -3, 0.5, 10.
2. Enter the exponent. This is the power. It can be a whole number, fraction, or negative. Entering 0.5 as the exponent gives the square root. Entering -1 gives the reciprocal.
3. Read the result. The calculator shows the expanded form and the result. Large results are shown in both standard and scientific notation.

Special values: any number to the power of 0 equals 1 (by convention, including 0⁰). Any number to the power of 1 equals itself. Negative base with even exponent gives a positive result; with odd exponent gives a negative result.

Product rule:     aⁿ × aᵐ = aⁿ⁺ᵐ       (2³ × 2⁴ = 2⁷ = 128)
Quotient rule:    aⁿ / aᵐ = aⁿ⁻ᵐ       (2⁵ / 2² = 2³ = 8)
Power rule:       (aⁿ)ᵐ = aⁿˣᵐ         ((2³)² = 2⁶ = 64)
Negative:         a⁻ⁿ = 1/aⁿ            (2⁻³ = 1/8)
Zero:             a⁰ = 1                (7⁰ = 1)
Fractional:       a^(1/n) = ⁿ√a        (8^(1/3) = 2)
Fractional 2:     a^(m/n) = (ⁿ√a)ᵐ     (8^(2/3) = 4)

Powers of 2 (important for computing):