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3 to the Power of 2 Calculator

Power Calculation:

\[ a^b = \underbrace{a \times a \times \dots \times a}_{b \text{ times}} \]

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1. What is Power Calculation?

Power calculation (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 function:

\[ a^b = \underbrace{a \times a \times \dots \times a}_{b \text{ times}} \]

Where:

Explanation: The base number is multiplied by itself for the number of times specified by the exponent.

3. Importance of Power Calculation

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

4. Using the Calculator

Tips: Enter any real number for the base and exponent. The calculator will compute the result of raising the base to the specified power.

5. Frequently Asked Questions (FAQ)

Q1: What does 3^2 mean?
A: It means 3 multiplied by itself 2 times (3 × 3), which equals 9.

Q2: Can I calculate fractional exponents?
A: Yes, the calculator supports fractional exponents like 4^0.5 (which equals 2, the square root of 4).

Q3: What about negative exponents?
A: Negative exponents represent reciprocals. For example, 2^-3 equals 1/(2^3) = 1/8 = 0.125.

Q4: What is 0^0?
A: This is mathematically undefined, though some contexts define it as 1.

Q5: How precise are the calculations?
A: Results are calculated with floating-point precision and rounded to 4 decimal places.

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