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Example with Fractions

Here is an example where you use the power rules for fractions.

Example 1

Simplify a4 ⋅ (a2 ⋅ b)5 (a ⋅ b)3

You use a combination of the rules you have learned and get

a4 ⋅ (a2 ⋅ b)5 (a ⋅ b)3 = a4 ⋅ (a2)5 ⋅ b5 a3 ⋅ b3 = a4 ⋅ a10 ⋅ b5 a3 ⋅ b3 = a14 ⋅ b5 a3 ⋅ b3 = a14−3 ⋅ b5−3 = a11b2

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