This worksheet is about simplifying powers of algebraic powers.
Example
Simplify:
(a3b2)4
Answer
Remember what to the power of 4 means and multiply the terms 4 times.
We get:
a3b2 × a3b2 × a3b2 × a3b2
Add the indices of matching identical letters
(for the letter a: 3 + 3 + 3 + 3 = 12 and for the letter b: 2 + 2 + 2 + 2 = 8).
Answer is a12b8.