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Fraction Calculator with Negative Exponents

Reviewed by Calculator Editorial Team

This fraction calculator handles negative exponents in fractions, providing accurate results and clear explanations. Whether you're working with mathematical expressions or solving real-world problems, this tool simplifies fraction calculations with negative exponents.

How to Use This Calculator

To use the fraction calculator with negative exponents:

  1. Enter the numerator and denominator of your fraction in the input fields.
  2. Specify the exponent value (can be negative).
  3. Click "Calculate" to compute the result.
  4. Review the formatted result and the step-by-step solution.

The calculator will display the result in its simplest form and show the calculation steps.

Formula Explained

When dealing with fractions and negative exponents, the following formula applies:

(a/b)-n = (b/a)n

This means that a negative exponent in a fraction can be converted to a positive exponent by flipping the fraction and changing the sign of the exponent.

Note: The calculator automatically simplifies the result to its lowest terms.

Worked Examples

Example 1: Positive Exponent

Calculate (2/3)2:

(2/3)2 = 4/9

Example 2: Negative Exponent

Calculate (4/5)-3:

(4/5)-3 = (5/4)3 = 125/64

Example 3: Mixed Fraction

Calculate (3/4)-2:

(3/4)-2 = (4/3)2 = 16/9

Frequently Asked Questions

Can this calculator handle complex fractions?

Yes, the calculator accepts any valid fraction input, including those with negative exponents.

What if I enter a zero in the denominator?

The calculator will display an error message since division by zero is undefined.

How does the calculator simplify results?

The calculator reduces fractions to their simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD).