Fraction Calculator With Parentheses And Exponents

Fraction Operation:

\[ \left(\frac{a}{b}\right)^n \text{ op } \left(\frac{c}{d}\right) \]

Numerator 1 (a):

Denominator 1 (b):

Exponent (n):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is This Calculator For?

This calculator performs operations between two fractions where the first fraction is raised to a power. It handles addition, subtraction, multiplication, and division of fractions in the form (a/b)^n op (c/d).

2. How Does The Calculator Work?

The calculator follows these steps:

\[ \text{Result} = \left(\frac{a}{b}\right)^n \text{ op } \left(\frac{c}{d}\right) \]

Where:

\( a \) — Numerator of first fraction
\( b \) — Denominator of first fraction
\( n \) — Exponent for first fraction
\( c \) — Numerator of second fraction
\( d \) — Denominator of second fraction
\( op \) — Operation (+, -, *, /)

3. Understanding The Formula

Explanation: The calculator first raises the first fraction to the specified power, then performs the selected operation with the second fraction.

4. Using The Calculator

Tips: Enter all numerator and denominator values. Denominators cannot be zero. Select the operation you want to perform between the two fractions.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter zero for a denominator?
A: The calculator will not perform the calculation as division by zero is undefined.

Q2: Can I use negative exponents?
A: Yes, negative exponents are supported and will calculate the reciprocal of the fraction raised to the positive exponent.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability.

Q4: Can I use decimal numbers?
A: Yes, all inputs accept decimal numbers with up to 2 decimal places.

Q5: What if I get "Undefined" as a result?
A: This occurs when attempting division by zero in the final operation.