You solutions may follow different paths than mine but
still be correct.

**Questions
**

1. Write down the rules of exponents.

2. Simplify

3. Simplify

4. Simplify so there are no negative exponents.

5. Simplify so there are no negative exponents.

6. Simplify

7. Simplify

8. Simplify

9. Simplify

10. Factor out the common factor 2a in

11. Factor out the common factor 2a in

12. Factor out the common factor 3x in

**Solutions**

1. The rules of exponents are:

• x^{0} = 1 if x ≠ 0 (0^{0} is indeterminant and is dealt with
in calculus).

• Product Rule:

• Quotient Rule:

• Power Rule:

• Product Raised to Power Rule:

• Quotient Raised to a Power Rule:

• Negative Exponent: , if x ≠ 0.

2. Using Power Rule

Simplify, using Power Rule and Negative
Exponent Rule

Simplify, using Negative Exponent Rule

Simplify, using Product Rule

Simplify