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4.4 Powers of Monomials. Objective : To find powers of monomials. Warm – up : Simplify: 1) (-2) 3 2) (-3) 3 3) (- a ) 6 4) (- b ) 5 Find the missing exponent. 5) 7 ? ∙7 5 = 7 8 6) n 10 ∙ n ? = n 16 7) 2 4 ∙ x 3 ∙2 ? ∙ x = 2 9 ∙ x 4.
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4.4 Powers of Monomials • Objective: To find powers of monomials. • Warm – up: Simplify:1) (-2)3 2) (-3)3 3) (-a)6 4) (-b)5Find the missing exponent.5) 7?∙75 = 78 6) n10∙n? = n16 7) 24∙x3∙2?∙x = 29∙x4
4.3 Multiplying Monomials The Rules Rule for Exponents for Product of Powers (am)n= am∙n To find a power of a power, you multiply the exponents. Rule for Exponents for Product of Powers • am∙an = am+n • To multiply two powers having the same base, you add the exponents.
4.3 Multiplying Monomials Simplify. (m3)6 [(-b)4]5 (-3k4m)(-2k3m4) • (u4)5 • [(-a)2]3 • (2x)3
4.3 Multiplying Monomials Simplify. [(-3b)2]2 -3(k4)3 -(2g6)2 • (y5)5 • (2y3)2 • (2y2)3
4.3 Multiplying Monomials Simplify. Homework: Pg. 156Oral Exercises#1 – 9Written Exercises#1 – 16 Challenge Problems:Oral Exercises#12, 14, 17, 18Written Exercises #30 • (5m7np3)(2m4np2) • (-2x4y4)(-x5y) + (x2y2)(-5x7y3)