1. What is Power Calculation?

Power calculation (a^b) represents the base (a) raised to the exponent (b). It's a fundamental mathematical operation used in various scientific, engineering, and financial calculations.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

• \( a \) — Base number (any real number)
• \( b \) — Exponent (any real number)

Explanation: The operation multiplies the base by itself exponent times. For example, 2^3 = 2 × 2 × 2 = 8.

3. Importance of Power Calculation

Details: Power calculations are essential in compound interest calculations, exponential growth models, physics equations, and many engineering applications.

4. Using the Calculator

Tips: Enter any real number for base and exponent. The calculator handles both positive and negative values, as well as fractional exponents.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative exponent mean?
A: A negative exponent means taking the reciprocal of the base raised to the positive exponent (a^-b = 1/(a^b)).

Q2: How does fractional exponent work?
A: A fractional exponent represents roots (a^(1/b) is the b-th root of a).

Q3: What is 0^0?
A: Mathematically, 0^0 is considered an indeterminate form, though some contexts define it as 1.

Q4: Can I calculate complex numbers?
A: This calculator handles real numbers only. Complex number exponents require more advanced calculations.

Q5: What's the largest/smallest number I can calculate?
A: The calculator is limited by PHP's floating-point number range (approximately ±1.8e308).