A comprehensive exponent and power calculator with four specialized modes. Features live visual equation display, scientific notation, step-by-step calculations, and handles positive, negative, and fractional exponents. Perfect for algebra, physics, engineering, and scientific computations.

How to Use

Step 1: Select Calculation Mode. Choose from four modes:

• Power (xⁿ): Standard exponentiation – x raised to the power of n
• Negative Exponent (xⁿ): Calculates reciprocal powers (1/xⁿ)
• Fractional Power (x^(m/n)): Handles fractional exponents like x^(2/3)
• Scientific Notation: Same as Power mode with scientific notation emphasis

Step 2: Enter Values

For Power/Negative Exponent modes:

• Enter the Base (x) – the number being raised to a power
• Enter the Exponent (n) – the power

For Fractional Power mode:

• Enter the Base (x)
• Enter the Numerator (m)
• Enter the Denominator (n)
• Result will be x^(m/n)

Step 3: Use Quick Examples (Optional)

• Click any example button to auto-fill values
• Examples: 2⁸, 10³, 5⁴, 3⁵

Step 4: Calculate

• Click “Calculate,” or press Enter
• View detailed results, including:
  • Main result (up to 6 decimal places)
  • Full precision (10 decimals)
  • Scientific notation
  • Step-by-step breakdown (for small integer exponents)

Step 5: Clear

• Click “Clear” to reset all fields

Features

✅ Four specialized modes for different exponent types ✅ Live visual display shows your equation as you type ✅ Scientific notation for very large/small numbers ✅ Step-by-step calculations for integer exponents ✅ Quick example buttons for common calculations ✅ Handles edge cases: infinity, undefined results ✅ High precision: up to 10 decimal places

Examples

Power Mode:

• 2⁸ = 256.000000
• 10³ = 1000.000000
• 5⁴ = 625.000000
• 1.5⁶ = 11.390625

Negative Exponent:

• 2⁻³ = 0.125000 (which is 1/8)
• 10⁻² = 0.010000 (which is 1/100)
• 5⁻¹ = 0.200000 (which is 1/5)

Fractional Power:

• 8^(1/3) = 2.000000 (cube root of 8)
• 16^(3/4) = 8.000000
• 27^(2/3) = 9.000000

Large Numbers:

• 2²⁰ = 1048576.000000 = 1.048576e+6
• 10¹⁰ = 10000000000.000000 = 1.000000e+10

Use Cases

• Algebra: Solving exponential equations
• Physics: Growth/decay calculations, radioactive decay
• Finance: Compound interest, investment growth
• Computer Science: Algorithm complexity, binary calculations
• Chemistry: Concentration calculations, pH calculations
• Engineering: Power systems, signal processing
• Mathematics: Number theory, combinatorics

Special Features

• Handles undefined cases: Negative base with fractional exponent
• Infinity detection: Recognizes when results are too large
• Interpretations: Shows equivalent forms (e.g., 2⁻³ = 1/2³)
• Green gradient theme: Fresh, modern design