Rational Exponents Teacher Resources

Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations.

Exponents and radicals are examined through square roots and factoring.

The purpose of this task is to study the rules of exponents in the context of trying to make sense of a challenging mathematical expression. Teachers will critically analyze each student's argument. Aligns with N-RN.A.1.

[Free Registration/Login may be required to access all resource tools.] Learn how to simplify different forms of radicals.

The laws of exponents are applied to expressions containing fractional exponents. Several examples are provided to practice the concept.

The process for converting a number raised to a power within a root symbol to a number raised to a fraction exponent is demonstrated in this video. This lesson [1:18] is 4 of 15 in the series titled "Converting to Fractional Exponent Form."

The process for converting a number raised to a power within a root symbol to a number raised to a fraction exponent is demonstrated in this video. This lesson [2:29] is 13 of 15 in the series titled "Converting to Fractional Exponent...

The process for converting a number raised to a power within a root symbol to a number raised to a fraction exponent is demonstrated in this video. This lesson [2:14] is 14 of 15 in the series titled "Converting to Fractional Exponent...

The process for converting a number raised to a power within a root symbol to a number raised to a fraction exponent is demonstrated in this video. This lesson [2:36] is 3 of 15 in the series titled "Converting to Fractional Exponent Form."

The process for converting a number raised to a power within a root symbol to a number raised to a fraction exponent is demonstrated in this video. This lesson [3:50] is 5 of 15 in the series titled "Converting to Fractional Exponent Form."

In this lesson, students will see the steps for rewriting a fractional exponent as a number raised to a power within a root symbol. It is 3 of 13 in the series titled "Rewriting Fractional Exponents."

In this lesson, students will see the steps for rewriting a fractional exponent as a number raised to a power within a root symbol. It is 9 of 13 in the series titled "Rewriting Fractional Exponents."

In this lesson, students are shown the relationship between roots and fractional exponents (one can be rewritten as the other). It is 3 of 10 in the series titled "Roots and Fractional Exponents."

A quiz that cover all exponent properties using integer exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

See worked examples for using exponent properties to multiply and divide when there are integer exponents. [4:23]

Rewrite products or quotients of powers, including negative powers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Rewrite powers where the base includes more powers, and the exponents may be negative. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Explains what cube roots are and how to find them, including the cube root of a negative number. [8:00]

Simplify square roots that contain variables in them like square root of 27a. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

In this exercise, students practice finding cube roots. Students receive immediate feedback and have the opportunity to get hints, watch a video, and try questions repeatedly.

Students solve simple square roots and receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.