Simplifying Integer Exponents

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Objective

I can explain and apply the properties of integer exponents to simplify expressions.

Part 1 of 4

Warm-up video

Professor Dave Explains · 8:42Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    Exponents represent repeated multiplication, just as multiplication represents repeated addition.

  2. 2

    Any number raised to the power of zero is equal to one.

  3. 3

    When multiplying terms with the same base, we add the exponents: xᵃ * xᵇ = xᵃ⁺ᵇ. When dividing, we subtract the exponents: xᵃ / xᵇ = xᵃ⁻ᵇ.

Part 3 of 4

Practice

8 questions

1

Explain in your own words what an exponent represents.

2

Evaluate: 4³

Part 4 of 4

Exit ticket

Quick comprehension check

Simplify the expression (4²)³. Explain each step you took to simplify the expression, referencing the properties of exponents you used.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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