1. What is Fraction to Power?

The fraction to power operation raises both the numerator and denominator of a fraction to the same exponent. This is a fundamental operation in algebra that follows the exponentiation rules for fractions.

2. How Does the Calculator Work?

The calculator uses the fraction to power formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction
• \( c \) — Exponent

Explanation: The operation applies the exponent to both the numerator and denominator separately, then divides the results.

3. Mathematical Explanation

Details: This operation is valid for any real numbers a, b (b ≠ 0), and c. It follows from the properties of exponents and division.

4. Using the Calculator

Tips: Enter the numerator, denominator (must be non-zero), and exponent. The calculator will compute the result and show each step of the calculation.

5. Frequently Asked Questions (FAQ)

Q1: What happens if the denominator is zero?
A: Division by zero is undefined, so the calculator requires a non-zero denominator.

Q2: Does this work with negative exponents?
A: Yes, negative exponents create reciprocals (e.g., (a/b)^-c = (b/a)^c).

Q3: What about fractional exponents?
A: Fractional exponents represent roots (e.g., (a/b)^(1/2) = √a/√b).

Q4: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for all inputs.

Q5: How precise are the results?
A: Results are rounded to 4 decimal places for readability.