The Exponent & Power Calculator computes numerical exponentiation across positive integers, negative powers, and fractional exponents with automatic scientific notation formatting.

### Exponentiation Principles & Mathematical Formulas Exponent operations represent repeated multiplication, inverse powers, or radical roots: - **Positive Power**: $$x^y = \underbrace{x \times x \times \dots \times x}_{y \text{ times}}$$ - **Negative Exponent (Multiplicative Inverse)**: $$x^{-y} = \frac{1}{x^y}$$ - **Fractional Exponent (Radical Roots)**: $$x^{1/n} = \sqrt[n]{x} \quad \text{and} \quad x^{m/n} = \sqrt[n]{x^m}$$ - **Reciprocal & Logarithmic Transforms**: $$\text{Reciprocal} = \frac{1}{x^y} \quad \text{and} \quad \ln(|x^y|) = y \times \ln(|x|)$$

### Worked Calculation Example Evaluating base $x = 2$ raised to power $y = 10$: - **Primary Power**: $2^{10} = 1{,}024$ - **Reciprocal**: $1 / 2^{10} = 1 / 1{,}024 \approx 9.7656 \times 10^{-4}$ - **Natural Logarithm**: $\ln(1{,}024) \approx 6.9078$ - **Negative Exponent Comparison**: $2^{-3} = 1 / 2^3 = 1 / 8 = 0.125$ - **Fractional Root Comparison**: $16^{0.5} = \sqrt{16} = 4.00$

### In-Browser Processing & Privacy Calculations execute locally inside your web browser. No mathematical equations or numeric values are transmitted to any server.