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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”. Laws of Exponents. Product of Powers (3).

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SWBAT… Multiply monomials Monday, 4/30

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  1. 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”

  2. Laws of Exponents

  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

  4. Examples

  5. Examples

  6. 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

  7. Examples

  8. 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

  9. Examples (cont’d)

  10. Examples

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