# Algebra2 Exponent, Radicals, and Complex Number Quiz Review Exponent Rules Summary ```Algebra2 Exponent, Radicals, and Complex Number Quiz Review
Exponent Rules Summary
1. When we MULTIPLY bases, we _____________ exponents.
2. When we DIVIDE bases, we _____________ exponents.
3. When we RAISE BASES to a POWER, we _________________ the exponents.
4. When we ADD BASES, do we do anything to the exponents? What must we have to ADD bases? Give an
example of two terms with powers that CAN be added.
5. Negative exponents _____________________ their base. Negative exponents make nothing negative.
For each rule below, write and simplify your own example.
To SIMPLIFY radicals with variables, we use __________________________________ to deal with the variable.
To MULTIPLY/DIVIDE radicals, we need _________________________________________
To RATIONALIZE the denominator, we ___________________________________________
Multiplication
Division
1.
50
2
2.
50
3
Complex Numbers
Definition: The complex number I is equal to _______________________.
Therefore (i)2 = __________________________________________.
Division
32
4i
1.
2.
21
3i
Negative exponents and negatives under the square root sign make nothing
negative.
1. What does a negative exponent do?
2. What does a negative under the radical do?
1
1.
25 2
6. 10  81

2. 25
1
2
1
3. 25 2
1
4. (25) 2
7. 3  36
BE SURE TO PRACTICE solving by the square root method in the Mixed packet.
```