# Evaluate Expressions with Fractional Exponents Worksheets

How to Evaluate Expressions with Fractional Exponents We usually have algebraic terms with whole or natural numbers as exponents. It is pretty simple to solve terms or expressions with exponents in whole numbers. If a variable x has an exponent of '4', it simply means that x is being multiplied by itself four times. Similarly, if a constant 2 has an exponent of 3, it simply means that 2 is being multiplied by itself three times to get an answer of 8. Processing exponents of whole or natural numbers is pretty easy. But what happens if we have fractional numbers in exponents. Fractional exponents are also not that difficult to solve. What you have to do is keep some concepts in your mind and be careful about a few things while solving an expression having a fractional exponent. In a fractional exponent, the numerator part is dealt with as a normal exponent, which means that the term will be multiplied by itself the number of times the numerator of the fractional exponents asks. However, its denominator will become the exponent of its root. For example, x2/3 can be said as, cube root of x (square).

• ### Basic Lesson

Demonstrates the steps of combining fractional exponents and simplifying.

• ### Intermediate Lesson

Explores how to evaluate complex fractional exponents.

• ### Independent Practice 1

Contains 20 Evaluate Expressions with Fractional Exponents problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Evaluate Expressions with Fractional Exponents problems.

• ### Homework Worksheet

Evaluate Expressions with Fractional Exponents problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Evaluate Expressions with Fractional Exponents problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Common Math Relationships

The following three equations represent words that have a common relationship. The first letter of each word is given. Where will you find the following equations to be true? R = 1, S T = 2, T = 6 note: S T refers to a two-word variable. Answer: Canadian Football League, the point values for various types of scoring a Rouge is 1 point (R = 1) a Safety Touch is 2 points (S T = 2) a Touchdown is 6 points (T = 6)