Power of a Quotient | Algebra 1: Module 2: Topic 5

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

7, 8

Overview

In this program, we learn that the power of a quotient is equal to the quotient obtained when the dividend and divisor are each raised to the indicated power separately before the division is performed. 

Mathematics (2019) Grade(s): 8

MA19.8.3

Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions.

UP:MA19.8.3

Vocabulary

  • Integer Exponent

Knowledge

Students know:
  • that whole number exponents indicate repeated multiplication of the base number and that these exponents indicate the actual number of factors being produced.

Skills

Students are able to:
  • Develop integer exponent operations in order to generate equivalent expressions through addition, multiplication, division and raising a power by another power with expressions containing integer exponents.

Understanding

Students understand that:
  • just as whole number exponents represent repeated multiplication, negative integer exponents represent repeated division by the base number.
  • The exponent can be translated (visually, listing out the factors) to represent the exact number of factors being repeated so that the use of integer exponent operations ("rules") can be proven/make sense.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
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