This worksheet is about simplifying powers of algebraic powers.
Example
Simplify:
(2a3b2)4
Answer
Remember what to the power of 4 means and multiply the terms 4 times.
We get:
2a3b2 × 2a3b2 × 2a3b2 × 2a3b2
Multiply the numbers (2 × 2 × 2 × 2 = 16).
Add the indices of identical letters
(for the letter a: 3 + 3 + 3 + 3 = 12 and for the letter b: 2 + 2 + 2 + 2 = 8).
Answer is 16a12b8.