1. What Are Fraction Exponents?

Fraction exponents represent raising a fraction to a power. The formula (a/b)^n = a^n / b^n shows that you can separately raise the numerator and denominator to the power and then divide them.

2. How Does the Calculator Work?

The calculator uses the fraction exponent formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction (cannot be zero)
• \( n \) — Exponent

Explanation: The formula demonstrates that raising a fraction to a power is equivalent to raising both the numerator and denominator to that power separately, then dividing them.

3. Importance of Fraction Exponents

Details: Fraction exponents are fundamental in algebra and appear in various mathematical and scientific applications, including probability, physics equations, and financial calculations.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b ≠ 0), and exponent (n). The calculator will show each step of the calculation and the final result.

5. Frequently Asked Questions (FAQ)

Q1: What if the denominator is zero?
A: Division by zero is undefined. The denominator must be a non-zero value.

Q2: Can the exponent be negative?
A: Yes, negative exponents are allowed. A negative exponent means taking the reciprocal of the base raised to the positive exponent.

Q3: What about fractional exponents?
A: This calculator handles integer and decimal exponents. Fractional exponents represent roots (e.g., x^(1/2) = √x).

Q4: How precise are the results?
A: Results are calculated with floating-point precision and rounded to 4 decimal places for display.

Q5: Can I use variables or expressions?
A: This calculator works with numerical values only. For symbolic computation, use a computer algebra system.