# Laws of Exponents - Power Raised to a Power

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## Objective

Students will be able to use conceptual approach to enable students to establish deep understanding of the properties of exponents that can be used to raise a power to a power. Conceptually understand exponents to expand exponents with the same base and different bases. By expanding the multiplication, students will develop the rule of multiplying exponents by applying grouping and the associative property.

#### Big Idea

Memorization is short term knowledge but understanding endures time. Create the rules for exponents by expanding the bases to understand.

15 minutes

35 minutes

## Standards Applied in this Lesson

1 minutes

8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.

Collaboratively grouping students to become resources for one another in working through the activity to show ownership of learning brings in math practice standard one.

MP1 Make sense of problems and persevere in solving them.

Applying the strategy of mini-wrap ups that are student centered will directly bring math practice standard 3 into the lesson.

MP3 Construct viable arguments and critique the reasoning of

Asking students to speak using correct vocabulary to explain their thinking applies math practice standard 6.

MP6 Attend to precision.

Asking students to expand expressions to see the pattern of multiplication and then reason to create a rule for performing the multiplication faster through using exponents employes two mathematical practices - one for seeing the structure of the expanded form of the expression and another for expressing the regularity of the pattern as a rule:

MP7 Look for and make use of structure.

MP8 Look for and express regularity in repeated reasoning.