1. What is Power Calculation?

Power calculation, also known as exponentiation, is a mathematical operation that involves raising a base number to the power of an exponent. It represents repeated multiplication of the base number.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

• \( B \) — Base number
• \( E \) — Exponent (power)

Explanation: The base number (B) is multiplied by itself E times. For example, 2³ = 2 × 2 × 2 = 8.

3. Importance of Power Calculation

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

4. Using the Calculator

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

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. For example, 5⁰ = 1.

Q2: How are negative exponents handled?
A: A negative exponent means taking the reciprocal of the base raised to the positive exponent. For example, 2⁻³ = 1/(2³) = 1/8 = 0.125.

Q3: What about fractional exponents?
A: Fractional exponents represent roots. For example, 4^(1/2) = √4 = 2, and 8^(1/3) = ∛8 = 2.

Q4: Can I use decimal numbers as exponents?
A: Yes, the calculator supports decimal exponents. For example, 10^0.5 = √10 ≈ 3.1623.

Q5: Are there any limitations to this calculator?
A: The calculator uses standard PHP mathematical functions and may have precision limitations with very large or very small numbers.