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Exponents - Negative, Fractional, and Power Law

Unit 7

This math unit progresses through various intricacies of working with exponents and power laws. It begins with elementary applications of the power law on variable and composite bases and extends into more complex manipulations such as dealing with negative and fractional exponents. As students advance, they tackle problems involving bases with prime numbers, learning how to simplify expressions by managing multiple layers of exponents. Further, the unit explores how to calculate and simplify expressions with fractional and negative fractional exponents on both integer and fractional bases. Complexity increases as students solve for unknown exponents in scenarios where bases and powers are variable, including transitioning through powers of ten. By the end of the unit, learners have a robust understanding of how to manipulate and simplify expressions involving exponent laws across diverse numeric and algebraic contexts, focusing particularly on solving equations to find unknown exponents while deepening their grasp of power laws within mathematical expressions.

Skills you will learn include:

Foundational Units

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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 - Negative, Fractional, and Power Law.

This math topic focuses on the application of the power law for exponents, specifically involving negative exponents and...

This math topic reinforces students' abilities in applying exponent rules, specifically the power law with negative exponents...

This math topic focuses on practicing exponentiation, specifically the application of the power law with a composite base....

This math topic focuses on applying the power law of exponents, particularly with numbers with negative bases and exponents....

This topic focuses on practicing the power law of exponents with a special emphasis on calculations involving negative exponents...

This math topic focuses on solving for unknown exponents in equations involving prime bases raised to variable powers, which...

This math topic focuses on solving for missing exponents using the power law, a fundamental concept in exponents. Each problem...

This math topic focuses on solving for unknown exponents based on the power law, specifically transitioning from a known...

This math topic focuses on the application of exponentiation rules, specifically solving equations involving powers and exponents....

This topic focuses on practicing the Power Law of exponents, specifically dealing with equations where both bases and exponents...

This topic focuses on the calculation of exponents with negative bases and exponents. It includes problems that involve calculating...

This math topic focuses on solving problems involving exponents, specifically using the power law. It centers on finding...

This math topic focuses on exponents, specifically on using the power law to solve for unknown powers when base 10 is involved...

This math topic focuses on solving for unknown exponents within equations that involve bases raised to variable or fixed...

This math topic focuses on practicing calculations with negative exponents. Participants are tasked with evaluating expressions...

This math topic focuses on problems involving exponents and specifically the power law. It involves solving for unknown exponents...

This math topic focuses on practicing the power law of exponents, specifically working with a base of ten. Students are tasked...

This math topic focuses on solving for unknown exponents within power equations involving exponents of 10. Each problem requires...

This math topic focuses on solving for unknown exponents within equations involving power laws and different bases, particularly...

This math topic focuses on the application of exponentiation and the power law which involves solving for missing exponents...

This math topic focuses on practicing the power law of exponents, specifically solving for unknown powers when the base and...

This math topic focuses on solving problems involving the power law of exponents. Specifically, students practice converting...

This math topic focuses on applying the power law of exponents to find missing exponents. Specifically, the problems present...

This math topic focuses on applying the power law of exponents, specifically involving a power of ten base with a variable...

This math topic focuses on practicing the power law of exponents, particularly with composite bases that include negative...

This math topic focuses on applying the power law of exponents. The specific area covered involves changing the base of exponents...

This math topic focuses on exponents and the power law, specifically dealing with expressions where variables are raised...

This math topic focuses on practicing the application of the power law in exponents, particularly involving calculations...

This math topic focuses on applying the power law of exponents to multiply terms with prime bases that are expressed as fractions...

This math topic involves practicing the power law of exponents with prime bases, specifically focusing on multiplying terms...

This math topic focuses on practicing the power law of exponents with variable bases, particularly involving negative exponents...

This math topic focuses on practicing the Power Law of exponents with variable bases. It specifically deals with situations...

This math topic focuses on helping learners develop proficiency in evaluating negative fractional exponents with fractional...

This math topic focuses on evaluating negative fractional exponents applied to fractional bases, a concept within the broader...

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

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

This math topic focuses on calculating fractional exponents for non-square integer bases and converting the outcome into...

This math topic focuses on practicing the Power Law of exponents with variable bases that involve negative exponents. The...

This topic focuses on practicing the power laws of exponents with a composite base, including operations with negative exponents...

This math topic focuses on solving for unknown exponents by applying the power law of exponents. Specifically, it practices...

This math topic focuses on solving for unknown exponents in equations involving powers, primarily working with expressions...

This math topic focuses on applying the power law of exponents to solve for unknown powers. Students utilize algebraic methods...

This math topic focuses on solving for missing exponents in expressions where bases and some exponents are variables or known...

This math topic focuses on solving equations using the power law in exponents. Specifically, students practice finding an...

This math topic focuses on practicing how to solve for missing exponents using the Power Law of exponents, specifically with...

This math topic provides exercises on understanding and applying the power law of exponents, specifically focusing on equations...

This math topic focuses on solving for unknown exponents using properties of exponents, specifically the Power Law. It involves...

This math topic focuses on mastering the exponent power laws, particularly with negative exponents and their application...

This math topic focuses on the application of the Power Law for exponents, particularly with prime bases. It involves solving...

This math topic focuses on applying the power law of exponents across various problems. It deals primarily with solving for...

This math topic focuses on solving for unknown exponents using the Power Law. The problems involve rewriting expressions...

This math topic focuses on practicing the Power Law of exponents involving calculations with variable bases raised to given...

This topic involves solving for missing exponents given equations where powers of numbers are equated to other expressions...

This topic focuses on practicing the application of the Power Law of Exponents with variables. The exercises involve multiplying...

This math topic revolves around practicing the Power Law of exponents with prime bases and negative exponents, encompassing...