Standard #: MA.8.AR.1.1


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Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases.


Examples


The expression begin mathsize 12px style open parentheses 3 x cubed y to the power of negative 2 end exponent close parentheses cubed end style is equivalent to begin mathsize 12px style 27 x to the power of 9 y to the power of negative 6 end exponent end style.

Clarifications


Clarification 1: Refer to the K-12 Formulas (Appendix E) for the Laws of Exponents.

Related Courses

Course Number1111 Course Title222
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.8.AR.1.AP.1 Use the properties of integer exponents and product/quotient of powers with like bases to produce equivalent algebraic expressions limited to positive exponents and monomial bases.


Related Resources

Tutorial

Name Description
Exponents with Negative Bases

In this tutorial, you will apply what you know about multiplying negative numbers to determine how negative bases with exponents are affected and what patterns develop.

Student Resources

Tutorial

Name Description
Exponents with Negative Bases:

In this tutorial, you will apply what you know about multiplying negative numbers to determine how negative bases with exponents are affected and what patterns develop.



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