7.1 – Multiplying Monomials

• x · x =

• x1 · x1 =

• x1 · x1 = x2

• x · x = x2

• x · x2 =

• x · x = x2

• x1 · x2 =

• x · x = x2

• x1 · x2 = x3

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2).

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)(x2 · x4)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)(x2 · x4)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)(x2 · x4)(y · y2)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)(x2 · x4)(y1 · y2)

• x · x = x2

• x · x2 = x3

Ex. 1 Simplify (-7x2y)(4x4y2). (-7x2y)(4x4y2)

(-7 · 4)(x2 · x4)(y1 · y2)

-28x6y3

Ex. 2 Simplify (-3xy2z3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x)4 · (y2)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x)4 · (y2)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x)4 · (y2)4 · (z3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x1)4 · (y2)4 · (z3)4

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x1)4 · (y2)4 · (z3)4

81 · x4 · y8 · z12

Ex. 2 Simplify (-3xy2z3)4

(-3xy2z3)4

(-3)4 · (x1)4 · (y2)4 · (z3)4

81 · x4 · y8 · z12

81x4y8z12