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Exponents - Fractional Bases and Exponents - Practice

Unit 7

This math unit begins by introducing students to the concept of negative fractional exponents with integer bases, guiding them through the process of simplifying expressions to find equivalent exponents or radical forms. They start with simpler tasks, learning to handle integer bases raised to negative fractional exponents, and progressively move to include squared and non-square integer bases. The tasks evolve to require factoring of the base numbers, understanding the relationship between exponents and radicals, and eventually simplifying these expressions extensively. As the unit progresses, students delve deeper into scenarios involving non-square bases and fractional exponents with both negative and standard fractional bases. They learn to factor the bases and simplify expressions to uncover the underlying radical or simplified forms. This advanced work includes dealing with unit and non-unit fractional bases, as well as extending their skills to handle negative unit fractions raised to powers, emphasizing comprehensive understanding and manipulation of various properties of exponents and radicals within algebraic contexts.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

Passed

Started

Not Started

Learning through Game Play

At Mobius we have lots of great (and free) resources to help you learn math. To keep kids engaged, there’s nothing better than a math-powered video game! Try out a Mobius game mapped to Exponents - Fractional Bases and Exponents - Practice.

This math topic involves practicing with negative fractional exponents using non-square integer bases and converting these...

This math topic focuses on the application and understanding of exponents with negative fractional bases. The problems require...

This math topic focuses on solving problems involving the multiplication of negative fractional bases. Each question presents...

This math topic focuses on calculating the results of multiplying negative fractional bases raised to exponents, specifically...

This math topic focuses on practicing operations with exponents that have negative unit fractions as bases, presented in...

This math topic focuses on operations with negative unit fraction bases, specifically through multiplication to form powers....

This math topic focuses on practicing negative fractional exponents with integer bases. Specifically, learners are challenged...

This math topic focuses on understanding negative fractional exponents with integer bases and their equivalence to radical...

This math topic focuses on practicing how to handle negative fractional exponents with integer bases. Specifically, students...

This math topic involves practicing with negative fractional exponents that have integer bases. Students are asked to identify...

This math topic focuses on practicing operations with exponents, specifically involving negative unit fraction bases. Questions...

This math topic focuses on the practice of calculating the powers of negative unit fractions. Each question presents a negative...

This math topic focuses on the simplification of negative fractional exponents with square integer bases. Students practice...

This math topic focuses on practicing the simplification of negative fractional exponents with squared integer bases. Students...

This math topic focuses on practicing negative fractional exponents with square integer bases. The problems involve calculating...

This math topic focuses on practicing the calculation of exponents with negative fractional bases. It builds skills in simplifying...

This math topic focuses on understanding and converting fractional exponents with non-square integer bases into their radical...

This math topic focuses on fractional exponents, particularly with non-square integer bases and their simplification to radical...

This math topic focuses on practicing the manipulation of fractional exponents with non-square integer bases. Specifically,...

This math topic involves solving problems related to calculating the exponentiation of negative base numbers. The problems...

This math topic practices the calculation of fractional exponents applied to fractional bases. It involves solving problems...

This math topic focuses on practicing calculations with fractional exponents on fractional bases. It explores solving for...

This math topic focuses on solving problems related to fractional exponents with unit fractional bases. It includes calculating...

This math topic focuses on fractional exponents with unit fractional bases. Students solve problems where a unit fraction...

This math topic focuses on understanding and solving problems related to negative fractional exponents with non-square integer...

This math topic practices calculating negative fractional exponents with a square integer base, converting them into their...

This math topic focuses on converting negative fractional exponents with square integer bases into their equivalent radical...

This math topic focuses on converting negative fractional exponents with square integer bases into their radical equivalents....

This math topic focuses on practicing how to solve problems involving negative fractional exponents applied to square integer...

This math topic focuses on solving expressions involving negative fractional exponents with square integer bases, transforming...

This math topic practices various skills involving negative fractional exponents. Specifically, it focuses on evaluating...

This math topic focuses on practicing how to handle negative fractional exponents with non-square integer bases. It involves...

This math topic focuses on negative fractional exponents with non-square integer bases. It is designed to help learners understand...

This math topic focuses on calculating exponents with negative fractional powers applied to non-square integer bases. The...

This math topic focuses on practicing with negative fractional exponents, specifically converting expressions with a non-square...

This math topic focuses on the manipulation and simplification of expressions involving negative fractional exponents with...

This math topic focuses on the practice of simplifying negative fractional exponents with non-square integer bases into radical...

This math topic focuses on practicing how to work with negative fractional exponents involving non-square integer bases,...