1. What is Power Calculation?

Power calculation (exponentiation) is a mathematical operation that raises a number (the base) to the power of another number (the exponent). It represents repeated multiplication of the base.

2. How Does the Calculator Work?

The calculator uses the power equation:

Where:

• \( a \) — Base number (any real number)
• \( b \) — Exponent (any real number)
• \( P \) — Result of the calculation

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

3. Importance of Power Calculation

Details: Power calculations are fundamental in mathematics, physics, engineering, computer science, and many other fields. They are used in compound interest calculations, exponential growth models, and scientific notation.

4. Using the Calculator

Tips: Enter any real number for the base and exponent. The calculator will compute the result. Negative exponents calculate reciprocals (e.g., 2^-3 = 1/8 = 0.125).

5. Frequently Asked Questions (FAQ)

Q1: What happens when the exponent is 0?
A: Any non-zero number raised to the power of 0 equals 1 (a^0 = 1). 0^0 is undefined.

Q2: Can I calculate fractional exponents?
A: Yes, fractional exponents represent roots (e.g., 4^(1/2) = √4 = 2).

Q3: How are negative bases handled?
A: Negative bases with fractional exponents may produce complex numbers. The calculator shows real results when possible.

Q4: What's the largest number this can calculate?
A: The calculator is limited by PHP's floating-point number system (about 1.8e308).

Q5: How precise are the results?
A: Results are rounded to 4 decimal places for readability, though calculations use full precision.