🎯 About Power & Root Calculator

Our Power & Root Calculator is a comprehensive tool for calculating powers (exponents) and roots. Whether you need to calculate 2³, find √16, compute ∛27, or determine any nth root, this calculator provides instant results with step-by-step solutions.

Perfect for students, engineers, scientists, and anyone working with exponential calculations.

📝 How to Use

Power Calculator (x^n):

  • Enter the base number (x)
  • Enter the exponent (n)
  • Click "Calculate Power"
  • Example: 2³ = 2 × 2 × 2 = 8

Square Root (√x):

  • Enter the number
  • Click "Calculate Square Root"
  • Example: √16 = 4 (because 4² = 16)

Cube Root (∛x):

  • Enter the number
  • Click "Calculate Cube Root"
  • Example: ∛27 = 3 (because 3³ = 27)

Nth Root (ⁿ√x):

  • Enter the root index (n)
  • Enter the number (x)
  • Click "Calculate Nth Root"
  • Example: ⁴√16 = 2 (because 2⁴ = 16)

📐 Formulas & Concepts

Power (Exponent):

  • x^n = x × x × x ... (n times)
  • Example: 2⁴ = 2 × 2 × 2 × 2 = 16
  • Special cases: x⁰ = 1, x¹ = x
  • Negative exponents: x⁻ⁿ = 1/x^n

Square Root:

  • √x is the number that when squared equals x
  • √x × √x = x
  • Example: √25 = 5 (because 5 × 5 = 25)

Cube Root:

  • ∛x is the number that when cubed equals x
  • ∛x × ∛x × ∛x = x
  • Example: ∛64 = 4 (because 4 × 4 × 4 = 64)

Nth Root:

  • ⁿ√x is the number that when raised to power n equals x
  • (ⁿ√x)^n = x
  • Example: ⁵√32 = 2 (because 2⁵ = 32)

✨ Key Features

  • 4 Calculator Modes: Power, square root, cube root, nth root
  • Step-by-Step Solutions: See how calculations are performed
  • Decimal Support: Works with whole numbers and decimals
  • Negative Numbers: Handles negative bases and exponents
  • Instant Results: Real-time calculations
  • Detailed Breakdown: Shows multiplication steps
  • 100% Free: No registration required

📚 Example Calculations

Powers:

  • 2³ = 8
  • 5² = 25
  • 10⁴ = 10,000
  • 3⁵ = 243

Square Roots:

  • √4 = 2
  • √9 = 3
  • √16 = 4
  • √100 = 10

Cube Roots:

  • ∛8 = 2
  • ∛27 = 3
  • ∛64 = 4
  • ∛125 = 5

Nth Roots:

  • ⁴√16 = 2
  • ⁵√32 = 2
  • ⁶√64 = 2
  • ⁴√81 = 3

💡 Common Uses

  • Math homework and test preparation
  • Scientific and engineering calculations
  • Compound interest calculations
  • Physics and chemistry problems
  • Computer science algorithms
  • Geometry and area calculations
  • Statistical analysis
  • Financial modeling