# How do you subtract rational exponents?

## How do you subtract rational exponents?

When adding or subtracting rational exponents, we have to make sure that the base, root, and exponent are the same for each term. If they’re all the same, we can add or subtract the coefficients of the terms being summed or subtracted, while keeping the base the same.

How do you subtract rational algebraic expressions?

To subtract rational expressions, they must also have a common denominator. When the denominators are the same, you subtract the numerators and place the difference over the common denominator. To subtract rational expressions, subtract the numerators and place the difference over the common denominator.

If the two rational expressions that you want to add or subtract have the same denominator you just add/subtract the numerators which each other. When the denominators are not the same in all expressions that you want to add or subtract as in the example below you have to find a common denominator.

### How do you find the LCM of an equation?

Least Common Multiple (LCM)

1. Write the factors for each expression in prime factorization and count how often each factor occurs.
2. Identify each factor’s most frequent occurrence.
3. Highlight all most frequently occurring factors, and then find the product of the highlighted factors. The product is the LCM.

How do you add or subtract similar algebraic expression?

To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same. on the variables the same.

How do you add and subtract rational expressions with unlike denominators?

Adding and Subtracting Rational Expressions with Unlike Denominators

1. To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator.
2. Write each expression using the LCD.
3. Add or subtract the numerators.
4. Simplify as needed.