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Aim: How do we multiply a monomial by a monomial?

Aim: How do we multiply a monomial by a monomial?. Do Now: . Multiply : 1. 3 · 3 · 3 2 . x · x 3. 3 x · 2 x 4 . x ³ · x ² 5 . (4 x 2 ) 2. 3 · 3 · 3 = 3 3. = 27. is just the same as 3 1+1+1. 3 3.

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Aim: How do we multiply a monomial by a monomial?

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  1. Aim: How do we multiply a monomial by a monomial? Do Now: Multiply: 1. 3 · 3 · 3 2. x · x 3. 3x· 2x 4. x³ · x² 5. (4x2)2

  2. 3 · 3 · 3 = 33 = 27 is just the same as 31+1+1 33 Therefore, we just need to add the exponents when we multiply the monomials with the same bases Use the same idea to multiply the monomials with the same variable bases x· x = x1+1= x2

  3. To multiply a monomial by another monomial with the same bases • 1. multiply the coefficients • 2. multiply the same variables by adding the • exponents • 3. Multiply the exponents if the power of a • monomial to another power (such as Do • Now #5)

  4. 6. 2x · 3x²y = 6x³y 7. (-7a²b³)(-4a²b) 8. (3xy)² this is the same as 3xy· 3xy 9. (8a²b)(3cd²) 10. (-2x2y3)2 = 28a4b4 = 3xy · 3xy = 9x²y² = 24a²bcd² = 4x4y6

  5. 1. s· s • 2. y· y² • 3. 3 · 3³ • 4. (y³)² • 5. (5a²)(-4a²) • 6. (-6x³)(-3x)

  6. 7. (3z²)(-5y²z) • 8. (-9c)(8cd³) • 9. (-2a³)(5a)(-4a²) • 10. -3xy2 (2x2y3) • 11. 4x(x2y2)3

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