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 formula:

Where:

• \( base \) — The number being multiplied
• \( exponent \) — How many times the base is multiplied by itself

Explanation: For example, 2^3 means 2 × 2 × 2 = 8. The calculator handles both positive and negative exponents, as well as fractional exponents (roots).

3. Importance of Power Calculation

Details: Exponentiation is fundamental in mathematics, science, engineering, finance (compound interest), computer science, and many other fields.

4. Using the Calculator

Tips: Enter any real number for base and exponent. The calculator will compute the result accurately, including cases with negative bases and fractional exponents.

5. Frequently Asked Questions (FAQ)

Q1: What happens with negative exponents?
A: A negative exponent means taking the reciprocal of the positive power (e.g., 2^-3 = 1/(2^3) = 1/8 = 0.125).

Q2: How are fractional exponents handled?
A: Fractional exponents represent roots (e.g., 4^(1/2) = √4 = 2, 8^(1/3) = ∛8 = 2).

Q3: What about 0^0?
A: This is mathematically undefined, though some systems may return 1 by convention.

Q4: Can I calculate roots with this?
A: Yes, use fractional exponents (e.g., square root is exponent of 1/2, cube root is 1/3).

Q5: How precise are the calculations?
A: The calculator uses PHP's pow() function which provides high precision for most practical purposes.