🔢 Math Calculator

📐 How It Works

Raises a base number to any power (exponent). Supports integer, decimal, and negative exponents.

🔢 Worked Examples

• 2¹⁰ = 1,024
• 3⁻² = 1/9 ≈ 0.111
• 10⁶ = 1,000,000
• 2^0.5 = √2 ≈ 1.414
• (-3)⁴ = 81

📋 Common Use Cases

• Compound interest — P(1+r)ⁿ
• Computer memory — 2ⁿ bytes per n bits
• Population growth — exponential models
• Physics — radioactive decay N(t) = N₀ × e^(-λt)

💡 Did You Know?

Knuth's up-arrow notation extends exponents: 2↑↑4 means 2^(2^(2^2)) = 2^(2^4) = 2^16 = 65,536. Numbers grow incomprehensibly fast under iterated exponentiation.

⚠️ Common Mistake

(-2)⁴ = 16 (positive), but -2⁴ = -16 (the negative applies after squaring, due to operator precedence).