Exponent Calculator
Raise integers, fractions or decimals to any power — integer exponents exactly with BigInt, roots exactly when the prime factorization allows it, otherwise a decimal approximation, with every step shown.
Computed
The result and the full working are shown below.
Resultexact
1024
numeric ≈ 1024
The result is an exact rational number.
Graph
Step-by-step solution
- 1
The expression
Evaluate 2 raised to the power 10.
- 2
Raise to the power
Multiply 2 by itself 10 times.
- 3
Result
2^10 = 1024 — exact.
- 4
Decimal form
As a decimal, 1024 ≈ 1024.
About exponents
aⁿ means multiplying a by itself n times; a⁰ = 1 for any nonzero a, and a negative exponent takes the reciprocal: a⁻ⁿ = 1/aⁿ.
The exponent laws combine powers: aᵐ · aⁿ = aᵐ⁺ⁿ, (aᵐ)ⁿ = aᵐⁿ, and fractional exponents are roots — a^(1/2) = √a, a^(2/3) = ³√(a²).
Integer powers here are exact BigInt arithmetic — 2^100 comes out with all 31 digits instead of overflowing to 1.2676506e30 — while fractional exponents (roots) are evaluated numerically.