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College Algebra / Unit 1   Alg 022 short lesson, about 20 seconds

The Product Rule of Exponents

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The idea

The product rule of exponents states that multiplying powers of the same base adds the exponents: aᵐ · aⁿ = aᵐ⁺ⁿ.

In practice

2³ · 2² stacks five factors of 2, so it equals 2⁵ = 32.

Where people slip

The bases must match; 2³ · 5² adds nothing.

Your place on the trail

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