Exploring Negative Exponents

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Objective

I can simplify expressions with negative exponents using the rules of exponents.

Part 1 of 4

Warm-up video

Khan Academy · 9:22Vetted channel

We don't generate video — this one is by Khan Academy 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 exponents with the same base, you subtract the exponent in the denominator from the exponent in the numerator.

  2. 2

    a⁻ᵇ is equal to 1/aᵇ.

  3. 3

    When raising a quotient to a power, apply the power to both the numerator and the denominator.

Part 3 of 4

Practice

8 questions

1

Simplify the expression: x⁴ / x⁷

2

Which of the following is equivalent to 4⁻²?

Part 4 of 4

Exit ticket

Quick comprehension check

Simplify the expression: x⁴ / x⁷. Express your answer with a positive exponent.

Sample answer included in the free materials

Get the materials

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

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