The Power-Product Confusion
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State
The power-product confusion adds exponents where the power rule multiplies them, or multiplies where the product rule adds.
Show
(3²)³ = 3⁶ = 729, but 3² · 3³ = 3⁵ = 243. One expression stacks a power; the other multiplies two.
Watch for
Read the parentheses before touching the exponents.
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