When adding and/or subtracting polynomial fractions, first get common denominators, then add and/or subtract the numerators together. Finally, simplify. To solve a complex fraction, first find the common denominator for the entire fraction. Then change each term’s denominator to this common denominator.

Table of Contents

## How do you solve polynomial fractions?

When adding and/or subtracting polynomial fractions, first get common denominators, then add and/or subtract the numerators together. Finally, simplify. To solve a complex fraction, first find the common denominator for the entire fraction. Then change each term’s denominator to this common denominator.

## How do you subtract fractions with equations?

SUBTRACTION OF ALGEBRAIC FRACTIONS

- Step 1 Find the least common denominator of the two fractions.
- Step 2 Change each fraction to an equivalent fraction having the least common denominator.
- Step 3 Find the difference of the numerators and place this result over the least common denominator.

**How do you simplify polynomials with fractional exponents?**

To simplify a fraction with a factorable polynomial in the numerator or the denominator, first factor the polynomial in the numerator or the denominator. Then reduce the fraction to lowest terms by canceling out any monomials or polynomials that exist in both the numerator and denominator, if possible.

### How do you add polynomials with exponents?

Step 1: Arrange each polynomial with the term with the highest degree first then in decreasing order of degree. Step 2: Group the like terms. Like terms are terms whose variables and exponents are the same. Step 3: Simplify by combining like terms.

### What is the laws of exponents and polynomials?

The exponent rules are: Product of powers rule — Add powers together when multiplying like bases. Quotient of powers rule — Subtract powers when dividing like bases. Power of powers rule — Multiply powers together when raising a power by another exponent.

**How to divide by subtracting fractional exponents?**

If terms with fractional exponents have the same base a, then we can divide them by subtracting the fractional exponents. The rule is given as: (an/m)/ (ap/r) = a(n/m) – (p/r)

## What is an exponent of a fraction?

Fractional Exponents. But what if the exponent is a fraction? An exponent of 1 2 is actually square root. An exponent of 1 3 is cube root. An exponent of 1 4 is 4th root.

## What is x3/2 as a fractional exponent?

The denominator of the fractional exponent is 2 which takes the square root (also called the second root) of x. The order of applying the power and root to our number or variable does not matter. In the example, we wrote x 3/2 = 2 √ (x 3 ). This has us evaluating x 3 and then taking the square root of that.

**How do you simplify a fraction exponent?**

There are two ways to simplify a fraction exponent such $$ \\frac 2 3$$ . You can either apply the numerator first or the denominator. You can either apply the numerator first or the denominator. See the example below.