1. What is Multiplying Negative Fractions With Exponents?

This calculator computes the product of two negative fractions each raised to the same exponent. The formula handles both the fraction operations and exponentiation in the correct order of operations.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

• \( a \) — First numerator
• \( b \) — First denominator (cannot be zero)
• \( c \) — Second numerator
• \( d \) — Second denominator (cannot be zero)
• \( exp \) — Exponent applied to both fractions

Explanation: The calculator first evaluates each negative fraction separately, then applies the exponent to each, and finally multiplies the results.

3. Mathematical Explanation

Details: When multiplying negative fractions with exponents:

1. The negative sign is part of the fraction being raised to the power
2. Odd exponents will preserve the negative result
3. Even exponents will make the result positive
4. The exponent applies to both numerator and denominator

4. Using the Calculator

Tips: Enter all numerator and denominator values (cannot be zero), and the exponent. The calculator handles both positive and negative exponents.

5. Frequently Asked Questions (FAQ)

Q1: What happens if the denominator is zero?
A: The calculator will not compute a result as division by zero is undefined.

Q2: How are negative exponents handled?
A: Negative exponents create reciprocals of the base fraction (e.g., x⁻ⁿ = 1/xⁿ).

Q3: What's the order of operations?
A: Fractions are evaluated first, then exponents are applied, and finally multiplication is performed.

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

Q5: What about complex numbers?
A: This calculator only handles real number results. Complex results will not be displayed.