Exponent Rules
Basic: bn = b × b × ... × b (n times)
Negative Exponent: b−n = 1 / bn e.g. 2−3 = 1/8 = 0.125
Fractional Exponent: b1/n = ⁿ√b e.g. 81/3 = ∛8 = 2
Zero Exponent: b0 = 1 for any b ≠ 0
Product Rule: bm × bn = bm+n
Power Rule: (bm)n = bmn
Exponent Calculator
Calculate basen for any base and exponent. Supports negative exponents, fractional exponents, and large numbers in scientific notation.
Base to the Power of N
Frequently Asked Questions
A negative exponent means you take the reciprocal of the base raised to the positive version of the exponent. For example, 2−3 = 1/23 = 1/8 = 0.125. Negative exponents never make the result negative — they just create fractions less than 1 (when the base is greater than 1).
A fractional exponent represents a root. b1/n means the nth root of b. For example, 271/3 = ∛27 = 3. More generally, bm/n = (ⁿ√b)m. So 82/3 = (∛8)2 = 22 = 4. This connects exponents to roots and is fundamental in algebra and calculus.