🎯 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