Algebra
Geometry
Numbers and Quantities
Statistics and Probability
Functions
Proofs
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