1. What is the Fraction Exponent Rule?

The fraction exponent rule states that when a fraction is raised to a power, both the numerator and denominator are raised to that power. This is mathematically expressed as:

2. How Does the Calculator Work?

The calculator applies the fraction exponent rule in three steps:

1. Raises the numerator (a) to the power of n
2. Raises the denominator (b) to the power of n
3. Divides the results from step 1 and step 2

Example: For (2/3)², the calculator computes 2²/3² = 4/9 ≈ 0.4444

3. Applications of Fraction Exponents

Details: This rule is fundamental in algebra, physics, engineering, and finance. It's used in probability calculations, compound interest formulas, and scaling laws in physics.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b must be non-zero), and exponent (n). The calculator shows both the simplified form and decimal result.

5. Frequently Asked Questions (FAQ)

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

Q2: Does this work for negative exponents?
A: Yes, negative exponents create reciprocals. (a/b)^-n = (b/a)ⁿ.

Q3: Can this handle fractional exponents?
A: Yes, but results may be irrational numbers. The calculator will provide decimal approximations.

Q4: How precise are the results?
A: Results are accurate to 6 decimal places for most calculations.

Q5: Does this work with complex numbers?
A: This calculator handles real numbers only. Complex number operations require specialized tools.