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SWBAT… Multiply monomials Monday, 4/30. Agenda 1. WU (10 min) 2. Lesson on multiplying monomials (3 slides & lots of ex) (35 min) WU: Write your HW in your planner Set up notes: “Multiplying monomials”. Laws of Exponents. Product of Powers (3).

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swbat multiply monomials monday 4 30
SWBAT… Multiply monomials Monday, 4/30

Agenda

1. WU (10 min)

2. Lesson on multiplying monomials (3 slides & lots of ex) (35 min)

WU:

  • Write your HW in your planner
  • Set up notes: “Multiplying monomials”
slide2
product of powers 3
Product of Powers (3)

Words: To multiply two powers that have the same base, add their exponents.

Symbols: For any real number x and any integer mand n,xmxn = xm+n

Examples

(x3)(x4) = x3+4 = x7

OR

(x3)(x4) = (xxx)(xxxx)      = xxxxxxx           = x7

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power of a power 4
Power of a Power (4)

Words: To raise a power to a power, multiply the exponents.

Symbols: For any real number x and any integers m and n,(xm)n = xm ∙n

Examples:

(x2)4 = x 2∙4 = x8

OR(x2)4 = (x2)(x2)(x2)(x2) = (xx)(xx)(xx)(xx) = x8

(b3)5 = b3∙5 = b15

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power of a product 5
Power of a Product (5)

Words: If you have a product inside a parenthesis, and a power on the parenthesis, then the power goes on each coefficient and each variable inside (“distribute” the exponent to each coefficient and/or variable.)

Symbols: For any real number x and any integer m, (xy)m = xmym

Examples (xy)3 = x3y3

OR (xy)(xy)(xy) = (xxx)(yyy) = x3y3

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