1. Warm Up

2. Multiplying Monomials

3. A monomial is a
1. number, 2. variable, or 3. a product of one or more numbers and variables. Examples: 5 y 3x2y3

4. Why are the following not monomials? x + y
addition
division
2 - 3a
subtraction

5. Multiplying Monomials
When multiplying monomials, you ADD the exponents. 1) x2 • x4 2) 2a2y3 • 3a3y4

6. Simplify m3(m4)(m) m7 m8
m12
m13

7. Raising a Power to a Power
When you have an exponent with an exponent, you multiply those exponents.
1) (x2)3
2) (y3)4

8. Simplify (p2)4 p2 p4 p8
p16

9. Power of a Product
When you have a power outside of the parentheses, everything in the parentheses is raised to that power. 1) (2a)3 2) (3x)2

10. Simplify (4r)3
12r3
12r4
64r3
64r4

11. Try it out—combine the rules! 1) (x3y2)4 2) (4x4y3)3
Power of a Monomial
Try it out—combine the rules! 1) (x3y2)4 2) (4x4y3)3

12. Simplify (3a2b3)4
12a8b12
81a6b7
81a16b81
81a8b12