Warm Up

Multiplying Monomials

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

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

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

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

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

Simplify (p2)4 p2 p4 p8 p16

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

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

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

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