Exponent Multiplication and Division
7 Units, 14 Skills
Exponents - Multiplication - Intro
Unit 1
Exponents - Division - Intro
Unit 2
Exponents - Multiplication and Division - Practice
Unit 3
Exponents - Multiplication and Division - Advanced
Unit 4
Exponents - Power Law - Intro
Unit 5
Exponents - Power Law - Practice
Unit 6
Exponents - Negative, Fractional, and Power Law
Unit 7
This math unit focuses on the foundational concepts and manipulation of exponents using the power law. Starting with basic problems, students practice solving for unknown exponents when dealing with equations involving prime and composite bases paired with variable and unknown powers. Initially, the tasks require simplifying expressions with exponents based on established power laws, such as \((b^n)^m = b^{n \cdot m}\). As the unit progresses, problems increase in complexity, including working with variable exponent bases, transitioning between different numeral bases (primarily base ten), and solving equations where both bases and exponents can be variables or constants. Towards the end of the unit, the focus shifts to more specific manipulation of power laws involving base ten. Here, students deal with scenarios requiring the conversion between different powers of ten while determining unknown exponents. This sequence reinforces a thorough understanding of exponent rules, essential for algebraic manipulations and higher mathematical concepts, setting a strong foundation in handling exponents in various mathematical contexts.
Skills you will learn include:
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