Why does anything to the power of zero equal 1?
Because a^n ÷ a^n = a^(n−n) = a⁰, and any non-zero number divided by itself is 1. The one exception, 0⁰, is left undefined.
Calculate any number raised to any power. Supports positive, negative, and fractional exponents with scientific notation output.
aᵐ × aⁿ = a^(m+n). aᵐ ÷ aⁿ = a^(m−n). (aᵐ)ⁿ = a^(mn). a⁰ = 1. a⁻ⁿ = 1 ÷ aⁿ. a^(1/n) = ⁿ√a.
2¹⁰ = 1,024. Using the rules, 2¹⁰ ÷ 2⁴ = 2⁶ = 64, and (2³)² = 2⁶ = 64 as well. A negative exponent flips it: 2⁻³ = 1/8 = 0.125.
Because a^n ÷ a^n = a^(n−n) = a⁰, and any non-zero number divided by itself is 1. The one exception, 0⁰, is left undefined.
It is a root: a^(1/2) is a square root and a^(2/3) is the cube root squared. 8^(2/3) = (∛8)² = 4.
They grow far faster than intuition suggests — 2⁶⁴ is over 18 quintillion, which is why exponential growth dominates linear growth over any long horizon.