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Raising a power to a power

=. ( 2 3 ) 4. 2 3. ∙ 2 3. ∙ 2 3 . ∙ 2 3 . Raising a power to a power. =. ∙ ( 2 ∙ 2 ∙ 2 ) . ( 2 ∙ 2 ∙ 2 ). ∙ ( 2 ∙ 2 ∙ 2 ) . ∙ ( 2 ∙ 2 ∙ 2 ) . 2 12. =. ( 2 3 ) 4. 2 3 ∙ 4. 2 12. =. =. ( a m ) n. a m ∙ n. =. Powers Review. Multiplying powers with the same base.

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Raising a power to a power

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  1. = (23)4 23 ∙ 23 ∙ 23 ∙ 23 Raising a power to a power = ∙ (2 ∙ 2 ∙ 2) (2 ∙ 2 ∙ 2) ∙ (2 ∙ 2 ∙ 2) ∙ (2 ∙ 2 ∙ 2) 212 = (23)4 • 23∙4 212 = = • (am)n • am∙n =

  2. Powers Review • Multiplying powers with the same base 23 ∙ 25 = 23+5 = 28 Add exponents • Dividing powers with the same base 310 = 310-4 = 36 Subtract exponents 34 • Raising a power to a power • (52)3 • 52∙3 = 56 = Multiply exponents

  3. Multiplying Monomials (5a3b) (10a2b3) (a3∙a2) (5∙10) • (b∙b3) associative property • b4 50 • a5 multiplication

  4. Dividing Monomials Play KNOCKOUT 1 1 5a3b 10a2b3 2 2 a 2b2

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