What is the least common denominator of the exponents?

The Least Common Denominator (also called LCD) is very important to working with rational expressions. The process we use to find the LCD of the exponents is based on the process used to find the LCD of intergers. For instance, to find the LCD of 8 and 6 you need:

1. Consider multiples of the larger number
8, 16, 24,...

2. 24 is the first multiple of 8 that is also divisible by 6

3. Then 24 is our Solution.

To answer the question regarding expressions with exponents let's take an example:

Find the LCD of :

1. 12 is the LCD of 4 and 6

2. Use all variables with highest exponents on each variable, then

3. Finally, solutions is:

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

21, i'm pretty sure it's right lol