Power / Exponent Calculator
Raise a base to an exponent (bᵉ) — instantly.
Result
Result
1,024.000000
How it works
Raising a base to an exponent means multiplying the base by itself: 2⁵ = 2×2×2×2×2 = 32. The exponent counts the factors, and the result grows explosively — 2¹⁰ is already 1,024 and 2²⁰ over a million. That explosion is why exponents describe compound interest, population growth and computing (a 10-bit code has 2¹⁰ combinations). Special exponents follow simple rules: anything to the power 0 equals 1, and a negative exponent flips into a reciprocal — 2⁻³ = 1/2³ = 0.125. Fractional exponents are roots: b^(1/2) is the square root of b, b^(1/3) its cube root. Two habits help avoid mistakes: powers apply before multiplication in the order of operations (3·2² is 12, not 36), and (−2)² is 4 while −2² is −4 — the parentheses decide what gets squared.
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Frequently asked questions
What is 2 to the power of 10?
2^10 = 1,024.
What does a negative exponent mean?
b^-n = 1 ÷ bⁿ. Example: 2^-3 = 1/8 = 0.125.
What does a fractional exponent like b^(1/2) mean?
A root. b^(1/2) is the square root of b, b^(1/3) the cube root, and b^(3/2) means √(b³). Fractional exponents follow the same multiplication rules as whole ones.
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