Simplifying Exponent Expressions

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Objective

I can simplify expressions using the product, quotient, and power of a power laws of exponents.

Part 1 of 4

Warm-up video

ElisabethBriggs · 7:12

We don't generate video — this one is by ElisabethBriggs 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

    When dividing the same base raised to different powers, you can subtract the exponents to simplify the expression.

  2. 2

    A negative exponent can be eliminated by moving the term to the opposite part of the fraction (numerator to denominator or vice versa).

  3. 3

    When raising a product to a power, apply the exponent to each factor within the parentheses.

Part 3 of 4

Practice

9 questions

1

Simplify the expression: (4x^3y^2) / (2xy).

2

Simplify: (a^5b^-2) / (a^2b^3). Express your answer with positive exponents.

Part 4 of 4

Exit ticket

Quick comprehension check

Simplify the expression (a⁴b⁻²)³ completely, ensuring no negative exponents in your final answer. Show all steps.

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

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    Printable worksheet

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