Calculator With Exponents And Fractions

Fraction with Exponent Operation:

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

Numerator (a):

Denominator (b):

Exponent (n):

Operation:

Second Numerator (c):

Second Denominator (d):

Result:

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1. What is This Calculator?

This calculator performs operations between a fraction raised to an exponent and another fraction. It handles addition, subtraction, multiplication, and division operations.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

\( a \) — First numerator
\( b \) — First denominator
\( n \) — Exponent
op — Operation (+, -, ×, ÷)
\( c \) — Second numerator
\( d \) — Second denominator

3. Mathematical Explanation

Details: The calculator first raises the first fraction (a/b) to the power of n, then performs the specified operation with the second fraction (c/d). All calculations follow standard order of operations (PEMDAS/BODMAS).

4. Using the Calculator

Tips: Enter all required values (a, b, n, c, d). Denominators cannot be zero. The exponent can be any real number (positive, negative, or fractional).

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers?
A: Yes, except for denominators which cannot be zero (but can be negative).

Q2: What about fractional exponents?
A: The calculator handles all real number exponents, including fractions and decimals.

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

Q4: What happens with division by zero?
A: The calculator will return "Undefined (division by zero)".

Q5: Can I chain multiple operations?
A: Currently the calculator performs one operation between two terms. For complex expressions, you may need to perform multiple calculations.