Multiplying Powers with the Same Base

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Objective

I can simplify expressions using the product rule

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

    A negative exponent can be converted to a positive exponent by inverting the term. For example, x⁻² = 1/x².

  3. 3

    When multiplying terms with the same base, such as xᴬ * xᴮ, you add the exponents, resulting in xᴬ⁺ᴮ.

Part 3 of 4

Practice

8 questions

1

What does 4³ mean?

2

Calculate 2⁵.

Part 4 of 4

Exit ticket

Quick comprehension check

Simplify the expression: x⁴ * x⁶

Sample answer included in the free materials

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