This worksheet is about simplifying powers of algebraic powers.

**Example**

Simplify:

(2a^{3}b^{2})^{4}

**Answer**

Remember what *to the power of 4 *means and multiply the terms 4 times.

We get:

2a^{3}b^{2} × 2a^{3}b^{2} × 2a^{3}b^{2} × 2a^{3}b^{2}

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 **16a**^{12}**b**^{8}.