1. Aim: How do we solve equations with fractional or negative exponents?
Do Now: Simplify the following 1. 2. 3.
4. Solve for x:
HW: p.305 # 4,6,8,10,12,14,18,20

2. We can use the ordinary method to isolate the variable with fractional or negative exponent from the rest, then solve for the variable.
Divide both sides by 2
Simplify
Multiply the reciprocal of the exponent on both sides
Multiply the exponents

3. Solve for x:
Divide both sides by 15
Simplify
Multiply the reciprocal of the exponent on both sides
Simplify
Change the exponent to positive

4. Solve for x:
Subtract 1 on both sides
Multiply the reciprocal of the exponent on both sides
Simplify

5. Solve for x:
Change the radical to a power
Multiply the reciprocal of the exponent
Simplify
Simplify

6. Solve for x: Move –1 to the right Divide both sides by 2
Raise both sides to the power that is the reciprocal of the exponent of the variable
simplify

7. Solve for x:

8. 1. Solve for x: 16
2. Solve for x: 8
3. Solve for x:
125