Exponent, Power & Radical Calculator
Evaluate integer & fractional powers, simplify radical roots, analyze arbitrary orders of magnitude, and handle ultra-large numbers
Real base number
Power (integer, decimal, negative)
Evaluated Power (bˣ)
1,024
Positive Real Value
2¹⁰ = 1,024 • Reciprocal (b⁻ˣ): 0.00097656
Scientific Exponential Form
1.024 × 10³
Total digits: 4
Reciprocal Inverse (1 / bˣ)
1 / 1024
9.7656 × 10⁻⁴
Natural Logarithm (ln y = x · ln b)
6.9315
Log base e
Algebraic Expansion Rule
bˣ = 2¹⁰
Repeated integer multiplication
Number under radical sign
2 = square, 3 = cube, 4 = fourth…
Principal n-th Root (ⁿ√x = x¹/ⁿ)
8.4853
Simplified Radical: 6√2
²√72 = 72^(1/2) ≈ 8.485281
Exact Simplified Radical Form
6√2
Extracted square factor: 36
Fractional Power Form
72^(1/2)
Exponent: 0.500
Verification (Root Raised to n)
72.000
(8.4853)² = 72
Root Multiplicity Nature
Real Solution
Even index with positive radicand
Exact Scientific Notation (No Float Overflow)
1.8447 × 10¹⁹
Integer length: 20 decimal digits
Total Decimal Digits
20 digits
⌊x · log₁₀(b)⌋ + 1
Order of Magnitude (Power of 10)
10¹⁹
Exa- scale (E)
Equivalent Binary Power (Bits)
64.0 bits
8.00 Bytes capacity
SI / Binary Metric Prefix
18.45 Exa (E)
16.00 EiB (Exbibytes)