These worksheets will teach your students how to correctly convert radical expressions into fractional powers.

Rationale exponents also include fractional exponents. These often confuse students because the basic math can stump them. There are two rules that we can use to help guide us through these. When a base is under a radial and raised to exponent, we can simple convert that o the product of each base raised to one over the value of the exponent. When a base is raised to power under a radical that is raised by exponent we can convert that to the product of the base with each base raised to a power of the base exponent as the numerator and the raised power of the radical as the denominator. We introduce a series of different rules that students should be aware of. The first is the zero-exponent rule that tells us any base raised to the zero power is equal to one. The negative exponent rule tells us that a negative exponent will result in the formation of a reciprocal. The product rule tells us that the product of exponents are equivalent to the sum of the exponents. The quotient rule is similar in that the quotient of exponents are determined by the difference of the exponents.

Students will practice converting radical expressions (equations containing exponents that are fractions) into fractional powers. These worksheets explain how to use the laws of rational exponents. The rules for conversion have been supplied for the students. This topic includes a complete lesson that will demonstrate and explain the skill for you. You will be walked you through the conversion and evaluation process of exponential expressions.



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Print Law of Rational Exponents Worksheets

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How to Convert Radical Expressions to Fractional Powers

This overview presents the general rules for converting radical expressions to fractional powers. It solves a sample problem and includes two practice problems. Radical expressions can be converted to fractional powers to simplify radical expressions.

Laws of Rational Exponents

Students must find the value of each equation. Ten problems are provided. The problems include the use of fractional exponents and they really push that product rule to the next level.

Working with the Laws

This worksheet provides ten problems. Students must find the value of each equation. There is plenty of space, so use as much of it as you feel comfortable with.

Laws - Review

A step-by-step review of the laws of rational exponents. We tried to cover a good number of them. Six practice problems are provided.

Laws - Quiz

Students will demonstrate their proficiency in using the laws of rational exponents. Ten equations must be solved for their values.

Warm Up

Students must find the value of each equation using the laws of rational exponents. Space is provided to copy the correct answer when provided. Use this to bolster your use of this work and learn to master this skill.