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College Algebra / Unit 1   Alg 026 short lesson, about 20 seconds

The Power-Product Confusion

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The idea

The power-product confusion adds exponents where the power rule multiplies them, or multiplies where the product rule adds.

In practice

(3²)³ = 3⁶ = 729, but 3² · 3³ = 3⁵ = 243. One expression stacks a power; the other multiplies two.

Where people slip

Read the parentheses before touching the exponents.

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