Exponents
9 Units, 13 Skills
Exponents - Intro
Unit 1
Exponents - Practice
Unit 2
Exponents - Advanced
Unit 3
Exponents - Negative Bases and Exponents - Intro
Unit 4
Exponents - Fractional Bases and Exponents - Intro
Unit 5
Exponents - Negative Bases and Exponents - Practice
Unit 6
Exponents - Fractional Bases and Exponents - Practice
Unit 7
Exponents - Negative and Fractional Bases and Exponents
Unit 8
Exponents - Negative, Fractional, and Power Law
Unit 9
This math unit begins by focusing on the fundamentals of multiplying negative integers and understanding exponent rules related to negative bases. Students start by exploring the multiplication of the same negative integers repeatedly to grasp how negative powers affect the sign and magnitude of results. They then delve deeper into the complexities of exponents, specifically practicing calculations involving negative numbers raised to powers, which teaches them the effects and outcomes of squaring negative bases. As the unit progresses, learners engage with more intricate forms of exponents, such as calculations involving unit fractions and integer bases raised to negative fractional exponents. The exercises increasingly challenge students to simplify these expressions by applying their knowledge of exponent rules and understanding their equivalence to radical forms. This includes factorizing bases and recognizing how to simplify expressions both in exponent and radical forms, working with both square and non-square bases. By the end of the unit, students become adept at transforming complex exponential expressions with negative and fractional exponents into simplified radical forms, even when the bases require factorization. They refine their ability to manipulate, simplify, and accurately determine the results of expressions involving various configurations of bases and exponents, thereby deepening their understanding of a significant aspect of algebra.
Skills you will learn include:
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